All categories

3 years ago

Solve the equation by completing the square x^2-10x+26=8

Mathematics

2 answers:

irakobra [83]3 years ago

4 0

Answer:

x = 5 + sqrt(7) or x = 5 - sqrt(7)

Step-by-step explanation by completing the square:

Solve for x:

x^2 - 10 x + 26 = 8

Subtract 26 from both sides:

x^2 - 10 x = -18

Add 25 to both sides:

x^2 - 10 x + 25 = 7

Write the left hand side as a square:

(x - 5)^2 = 7

Take the square root of both sides:

x - 5 = sqrt(7) or x - 5 = -sqrt(7)

Add 5 to both sides:

x = 5 + sqrt(7) or x - 5 = -sqrt(7)

Add 5 to both sides:

Answer: x = 5 + sqrt(7) or x = 5 - sqrt(7)

Natalka [10]3 years ago

3 0

Answer:

the answer is +/- 5 and the √7 for both. Put 5 where the "A's" are and 7 where the "B's" are

Step-by-step explanation:

You might be interested in

Write an expression that represents the volume of a cube with side length 2x^3. (For any cube with side length s, v = s^3 = s.s.

leva [86]

Answer:

C. 8x^9

Step-by-step explanation:

(2x³)³=8x^9

5 0

3 years ago

You have a set of nested boxes whose lengths vary directly with their widths. One box is 2.5 in, wide and 5.5 in. long. A second

Anna11 [10]

Answer:

Step-by-step explanation:

If you're looking for direct correlation, you're looking for a proportion for the second box. So you set the ratio of 2.5:5.5 up as a fraction. 2.5/5.5 and set it equal to the second box 3/x.

2.5 = 3

5.5 x

cross multiply

16.5=2.5x

and divide

16.5/2.5 and you get your answer

7 0

3 years ago

Find the volume of the cubes or rectangular prisms in cubic centimeters.

DanielleElmas [232]

a) Volume of Rectangular prism is $\frac{36}{125}\,\,cm^3$

b) Volume of cube is $\frac{8}{125}\,\,cm^3$

c) Volume of cube is $\frac{1}{125}\,\,cm^3$

d) Volume of Rectangular prism is $\frac{6}{125}\,\,cm^3$

Step-by-step explanation:

Part a)

Volume of rectangular prism with

length= $\frac{3}{5}\,\,cm$

width= $\frac{4}{5}\,\,cm$

height = $\frac{3}{5}\,\,cm$

The formula used to find Volume of rectangular prism is:

$Volume\,\,of\,\,rectangular\,\,prism=length*width*height$

Putting values:

$Volume\,\,of\,\,rectangular\,\,prism=\frac{3}{5} *\frac{4}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{36}{125}\,\,cm^3$

So, Volume of Rectangular prism is $\frac{36}{125}\,\,cm^3$

Part b)

Volume of cube with side length of $\frac{2}{5}\,\,cm$

The formula used to find Volume of cube is:

$Volume\,\,of\,\,cube=length^3$

Putting value of length and finding volume:

$Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{2}{5})^3\\ Volume\,\,of\,\,cube=\frac{8}{125}\,\,cm^3$

So, Volume of cube is $\frac{8}{125}\,\,cm^3$

Part c)

Volume of cube with side length of $\frac{1}{5}\,\,cm$

The formula used to find Volume of cube is:

$Volume\,\,of\,\,cube=length^3$

Putting value of length and finding volume:

$Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{1}{5})^3\\ Volume\,\,of\,\,cube=\frac{1}{125}\,\,cm^3$

So, Volume of cube is $\frac{1}{125}\,\,cm^3$

Part d)

Volume of rectangular prism with

length= $\frac{1}{5}\,\,cm$

width= $\frac{2}{5}\,\,cm$

height = $\frac{3}{5}\,\,cm$

The formula used to find Volume of rectangular prism is:

$Volume\,\,of\,\,rectangular\,\,prism=length*width*height$

Putting values:

$Volume\,\,of\,\,rectangular\,\,prism=\frac{1}{5} *\frac{2}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{6}{125}\,\,cm^3$

So, Volume of Rectangular prism is $\frac{6}{125}\,\,cm^3$

Keywords: Volume

Learn more about Volume at:

#learnwithBrainly

6 0

3 years ago

Solve by the matrix method , x+y/5 -1=y-x

PIT_PIT [208]

10x - 4y = 5 (if it requires shorten)

Step-by-step explanation:

x + y/5 - 1 = y - x

<=> (5x + y - 1.5)/5 = 5(y - x)/5

<=> 5x + y - 5 = 5y - 5x

<=> 5x + 5x + y - 5y = 5

<=> 10x - 4y = 5

6 0

3 years ago

I need help pizzz ASAP

vredina [299]

I’m on confused on what you have to do?

6 0

3 years ago

Solve the equation by completing the square x^2-10x+26=8​

Solve the equation by completing the square x^2-10x+26=8