Question

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⎯⎯⎯⎯√

Answer 1

Answer:

We will add 64 to both sides.

x=8±√20

Step-by-step explanation:

Here we are given the equation:

$x^{2}+16x=-44$

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:

$x^{2}+16x+64=-44+64$

Completing the square:

$(x+8)^{2}=20$

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

Taking square root on both sides:

$x+8=+/-\sqrt{20}$

Bringing 8 to the right side:

x=8±√20