How do you complete the square of x2+8x+26?

Mathematics

2 answers:

Nadya [2.5K]3 years ago

7 0

Answer:

see below

Step-by-step explanation:

x^2+8x+26

Take the coefficient of the x term

Divide by 2

8/2 = 4

square it

4^2 =16

we need to add 16 to 26 = 16+10

x^2 + 8x+16 +10

(x+4)^2 +10

Serhud [2]3 years ago

3 0

The answer you are looking for is (x+4)²+10.

Solution/Explanation:

Selecting the "x" term's coefficient,

It would be 8.

Now, dividing it by 2,

8/2=4.

Squaring 4,

4²=16.

So, now, since (x+4)²=x²+8x+16, you must solve for 26-16, which equals 10, which you would supplement into the equation.

So, therefore, (x+4)²+10.

I hope this has helped you. Enjoy your day.

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