After completing the square, what are the solutions to the quadratic equation
below?
x^2 + 2x = 25

A. x = 1+-√26
B. x = -1+-√26
C. x = -2+-√26
D. x = 4,-6

Answers

Answer 1

Answer: I think the answer is B

Hope this helps :)

Answer 2

The solutions to the quadratic equation [tex]\rm x^2 + 2x = 25[/tex] is [tex]-1\pm \sqrt{26 }[/tex].

What is quadratic equation?

Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations.

The given equation is;

[tex]\rm x^2 + 2x = 25\\\\x^2+2x-25=0[/tex]

The solutions to the quadratic equation is determined by the following formula;

[tex]\rm x =\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Where the value of a = 1, b = 2, and c = -25.

Substitute all the values in the formula;

[tex]\rm x =\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\\\\\rm x =\dfrac{-2\pm \sqrt{2^2-4\times 1\times (-25)} }{2\times 1}\\\\ x =\dfrac{-2\pm \sqrt{4+100} }{2}\\\\x =\dfrac{-2\pm \sqrt{104} }{2}\\\\x =\dfrac{-2\pm \sqrt{26 \times 2\times 2} }{2}\\\\x =\dfrac{-2\pm 2\sqrt{26 }}{2}\\\\x = 2 \times \dfrac{-1\pm \sqrt{26 }}{2}\\\\x=-1\pm \sqrt{26 }[/tex]

Hence, the solutions to the quadratic equation [tex]\rm x^2 + 2x = 25[/tex] is [tex]-1\pm \sqrt{26 }[/tex].

Learn more about quadratic equation here;

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Related Questions

Select the correct answer.
What is the value of g(2)

Answers

Answer:

1

answer is D

Step-by-step explanation:

we must calculate it from this equation :

x³ -9x²+27x-25 then

[tex] {2}^{3} -( 9 \times 4 )+ (27 \times 2) - 25 = 1[/tex]

The time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H ,applied to the pot.
When H=6 T=90.
What must the cooker setting be if it takes 5 minutes to boil the water?

Answers

Answer:

[tex]1.8[/tex]

Step-by-step explanation:

Since the time for the pot of water to boil is inversely proportional to the cooker setting, H, as one goes up, the other must go down:

[tex]T\propto \frac{1}{H}[/tex]

Convert 5 minutes to seconds:

[tex]5\cdot 60=300\:\mathrm{s}[/tex]

Therefore, from the initial data given (When H=6, T=90), the new time is [tex]\frac{300}{90}=3\frac{1}{3}[/tex] larger. Therefore, H must be [tex]3\frac{1}{3}[/tex] times smaller for them to be inversely proportional.

[tex]H=\frac{6}{3\frac{1}{3}}=\boxed{1.8}[/tex]

Can someone help please *odd numbers only!!!!!!*

Answers

Answer:

Caitlyn Marie Jenner is an American media personality, socialite, political candidate and retired Olympic gold medal-winning decathlete. Jenner played college football for the Graceland Yellowjackets before incurring a knee injury that required surgery. Convinced by Olympic decathlete Jack Parker's coach, L. D.

Step-by-step explanation:

Hope this helps! Have a good day!

Answer:

Pretty sure 4.1 is an even number, 88° to be exact.

since your homework is quite much and kinda boring, the only thing you could offer me as motivation are brainliests. like in reposting the same sheet.

but this here for free: the of all three angles inside a triangle is 180 degrees.

half a turn of a full circle is 180 degrees, wich is important to calculate excercises 2 and 3 using subtraction.

for the first brainliest you can have 1-4

for the second 5-7 and for the third and fourth 8-9 and 10-11.

the whole sheet for a maybe-brainliest just isn't enough. it's like half an hour of grind work man

f(x)=3x−4 Input is x=3 , Output is
f(x)=−4x+3 Input is x=−3 , Output is

f(x)=−x−1 Input is x=−4 , Output is

f(x)=x2 Input is x=5 , Output is

Answers

f(x)=3x−4 Input is x=3 , Output is

3X3-4= 5

f(x)=−4x+3 Input is x=−3 , Output is

4x-3 +3 = -9

f(x)=−x−1 Input is x=−4 , Output is

-(-4-1) =-(-5) =5

f(x)=x2 Input is x=5 , Output is

5x2=10

hope it will help you

Can someone help me with this question?

Answers

Answer:

A = 20.25 sq units

Step-by-step explanation:

to find the area of a square you only need to know the measure of one side -- all other sides will be equal to it

it appears the segment is 4.5 units so you would square that to get the area

A = 4.5²

A = 20.25

Using the image below, find the number of squares in the next figure

Answers

Answer:

30 squares would be next in sequence

Step-by-step explanation:

each block of squares are adding as many as it takes to make an L around the previous square

how many vertices has a triangular pyramid and a triangular prism

Answers

A triangular pyramid has 4 vertices and triangular prisms 6 vertices

Find the measure of angle 7
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER

Answers

Answer:

119

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

im sure now

Combine like terms. What is a simpler form of each expression?
-3(4y - 8) – 4y

Answers

Answer:

A) -16y+24

Step-by-step explanation:

Distribute -3 with 4y and -8

-12y+24-4y

Add -12y and -4y

-16y+24

Answer is -16y+24

Hope this helps!

Please help with this question from Khan Academy!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B = 42

Step-by-step explanation:

B × 2/7 = A

A ÷ 2/7 = B

12 ÷ 2/7 = B

B = 42

What is the least common multiple of these two denominators? 3/6 , 2/12


A: 18
B:12
C:6
D:15​

Answers

Step-by-step explanation:

simple

multiples of 6= 1, 2, 3, 6

multiples of 12= 1, 2, 3, 4, 6, 12

.L.C.M of 12 and 6= 12

What are the values of x and y

Answers

Answer:

??

Step-by-step explanation:

Can't see that clear

Which of the following phases translate to the expression y+7

Answers

Answer:

what are the phrases to choose from?

Step-by-step explanation:

Find the scale factor from Triangle ABC to Triangle DEF.

Answers

Answer:

The ratio of any two corresponding lengths in two similar geometric figures.

Step-by-step explanation:

You can see immediately that the length of each of the sides in triangle DEF is equal to the length of the corresponding side in ABC multiplied by “a”.

If you divide the length of DE by the length of AB:

a^2/a =a.

You get a scale factor of “a”

Write the fve-number summary for each set of data

Answers

Answer:

Step-by-step explanation:

first arrange the data from ascending to decending order

1,5,8,10,11,14,17,19,20,23

Q1=(N+1)/4

=(10+1)/4

=11/4

=2.75

=2 nd item+(3 rd -2 nd)term

=5+(8-5)

=5+3

=8

Q2=(N+1)/2

=(10+1)/2

=11/2

=5.5 term

=(5 th term+6 th term)

=(11+14)/2

=25/2

=12.5

Q3=3(N+1)/4

=3(10+1)/4

=3*11/4

=33/4

=8.25

=8 th term +(9 th -8 th )term

=19+(20-19)

=19+1

=20

this is the question ​

Answers

Answer:

Step-by-step explanation:

Which equation is correct?
please help me :((

Answers

Answer:

sin x° = opposite ÷ hypotenuse

Step-by-step explanation:

Cosine is represented by the expression adjacent ÷ opposite and sine is represented by opposite ÷ hypotenuse. Only the fourth option lines up with the functions defined above.

If you are having trouble remembering the ratios for each trig function, you can use the acronym SohCahToa. This stands for:

S - sine

o - opposite

h- hypotenuse

C - cosine

a - adjacent

h - hypotenuse

T - tangent

o - opposite

a - adjacent

Which of the following is a factor of x3 + 2x2 - 25x – 50?

Answers

Answer:

(x - 5)(x + 2)(x + 5)

Step-by-step explanation:

x³ + 2x² - 25x - 50

x³ + 7x² - 5x² - 35x + 10x - 50

x(x² + 7x + 10) - 5(x² + 7x + 10)

(x - 5)(x² + 7x + 10)

(x - 5)(x² + 2x + 5x + 10)

(x - 5)(x(x + 2) + 5(x + 2))

(x - 5)(x + 2)(x + 5)

Gus has a fish tank that holds 4710 inches^3 of water. He is using a cylinder shaped bucket with a radius of 5 inches and a height of 20 inches to fill the tank.

Answers

Answer:

3

Step-by-step explanation:

How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn’t spill a drop? Use 3.14 for pi

Number of times = volume of tank /volume of cylinder

volume of cylinder = πr²h

3.14 x 5² x 20 = 1570

4710 /  1570 = 3 times

4x + 8y = 24 y = -1 2 x + 5

Answers

32y + 5 - 8x

always combine the letters and subtract or add them together

Answer:the answer to this is 16x -16y=5.

step by step explanation:.

4x+8y=24y=-12x+5

= 4x+13x+8y-24y=5.

16x - 16y =5.

Statement about the function f(x)=5(0.9)^x

Answers

Answer:

It's an exponential function

Step-by-step explanation:

That's one statement

Hope it helped

Answer: all the above

Explanation: hope that helps lol

If 4 is multiplied by the difference of a number and 3, the result is 32, which equation could be used to find the value of the number?

Answers

Step-by-step explanation:

I think 4 (x-3)=32 is right

A bag contains 9 identical balls out of which 3 are blue, 2 are white and the remaining are red.
If a ball is drawn from the bag what is probability that it is :
1. blue
2.not red.​

Answers

Answer:

Total number of balls  = 9

P(blue) = blue / total = 3/9 = 1/3 or 33.33%P(not red) = (total - red)/total = 5/9 or 55.55%

The sum of three numbers is 103. The second number is 5 less than the first. The third number is 4 times the first. What are the numbers?

Answers

Answer:

The numbers are 18, 13, and 72.

Step-by-step explanation:

Let the three numbers be represented by a, b, and c.

The sum of the three is 103. Thus, we can write that:

[tex]a+b+c=103[/tex]

The second number is five less than the first. So:

[tex]b=a-5[/tex]

And the third number is four times the first. So:

[tex]c=4a[/tex]

Substitute:

[tex]a+(a-5)+(4a)=103[/tex]

Solve for a. Combine like terms:

[tex]6a-5=103[/tex]

Add five to both sides:

[tex]6a=108[/tex]

And divide both sides by six. Therefore:

[tex]a=18[/tex]

So, the first number is 18.

Since the second number is five less than the first, the second number is 13.

And since the third number is four times the first, the third number is 72.

Consider the algebraic expression:
−z − 7y + 18x + 4
Which of the following is a constant in this expression?
Which of the following lists all the coefficients in this expression?

Answers

Answer:

constant: 4

coefficent: 7, 18 (However, -1 can also be counted as a coefficient, it is just invisible!)

Step-by-step explanation:

coefficient: a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

therefore, 7 and 18 are coefficients. HOWEVER, -1 can also be a coefficient to -z.

constant: a quantity or parameter that does not change its value whatever the value of the variables, under a given set of conditions.

therefore, 4 is a constant.

hope this helps! if it does, please mark brainliest! thanks!

Answer:

4

-1, -7, 18

Step-by-step explanation:

find the distance,(-2,3)(-8,3)

Answers

Answer:

6

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[-8 - (-2)]² + (3 - 3)²

√(-6)² + (0)²

√36

= 6

help very easy 5th grade math im in rush please help im very tired tell me how many x’s to put in each box.

Answers

Answer:

Step-by-step explanation:

none in the first 3 box

none in the second 3 boxes

2 in the third 3 boxes

1 in the 4th three boxes

1 in the 5th three boxes

3 in the 6th three boxes

and none in the last 3 boxes

hope this helped :D

Solve the proportion [tex]\frac{X+1}{3}[/tex] = [tex]\frac{X}{2}[/tex]
A).5
B).1
C).10
D).2

Answers

d.) 2 is the answer

i think

If a car is moving at the speed of 60 miles per hour how many miles would a car travel i 120 minutes

Answers

Answer:

120 miles

Step-by-step explanation:

120minutes= 2hour

2×60÷1=120 (miles)

PLEASE HELP!! WILL AWARD BRAINLIEST!!

Answers

Answer:

2.478 million at the end of 2015

Step-by-step explanation:

Multiply the amount of population at the end of 2012 times 6%

2.1 times 0.06 = 0.126 million

So, at a constant rate, yearly, the population of Dubai increases 0.126 million

2015-2012 = 3

0.126 times 3 = 0.378 million

2.1 + 0.378 = 2.478 million

hope this helps:)

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