Question

How do I solve this by completing the square: x2 + 8x = -3.

Answer 1

\[
(x+d)^2 = x^2+2dx+d^2 \\\
2d = 8 \implies d = 4\implies d^2=16\\
(x+4)^2-16 = -3\\
(x+4)^2=13
\]

Answer 2

is that the final answer?

Answer 3

Do I win a million dollars?

Answer 4

I did the same thing but it's not in the choices :/

Answer 5

What are the choices?

Answer 6

A. -3 and -5
B. -4 - √13 and -4 + √13
C. -4 - √19 and -4 + √19
D. 4 - √13 and 4 + √13

Answer 7

\[\begin{array}{ccr}
(x+4)^2&=&13\\
|x+4| &=& \sqrt{13}\\
x+4 &=& \pm \sqrt{13} \\
x &=& -4 \pm\sqrt{13}
\end{array}
\]

Answer 8

I salute you sir