Use completing the square to solve the equation x2+16x=−44 . First determine the number you must add to both sides of the equation. What is the correct answer? 64;−8±25⎯⎯√ 44;−8±45⎯⎯√ 256;−8±25⎯⎯√ 64;8±20⎯⎯⎯⎯√

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Kristiania Kristiania · Answer 1 · 2018-11-29T17:11:56+01:00

Answer:

We will add 64 to both sides.

x=8±√20

Step-by-step explanation:

Here we are given the equation:

[tex]x^{2}+16x=-44[/tex]

Now we take half of the coefficient of x and add it to x.

Coefficient of x is 16, half of 16 is 8.

Also we add square of 8 to both sides.

So new equation becomes:

[tex]x^{2}+16x+64=-44+64[/tex]

Completing the square:

[tex](x+8)^{2}=20[/tex]

NOw let us simplify it to get the value of x.

Taking square root on both sides:

[tex]x+8=+/-\sqrt{20}[/tex]

Bringing 8 to the right side:

x=8±√20