Question

Solve the equation by completing the square. Round to the nearest hundredth. x^2+6x=-7

Answer 1

Do you have it typed down correctly? Is it equal to -7 or just 7?

Answer 2

Answer:

The correct option is C.

Step-by-step explanation:

The given equation is

$x^2+6x=-7$

If expression is defined as $x^2+bx$, then we add $(\frac{-b}{2})^2$ to make it perfect square.

It the given equation b=6, so we will add

$(\frac{6}{2})^2=3^2=9$

Now add 9 on the both sides.

$x^2+6x+9=-7+9$

$(x+3)^2=2$

$x+3=\pm \sqrt{2}$

$x=-3\pm \sqrt{2}$

$x=-3+\sqrt{2},-3-\sqrt{2}$

$x=-1.59,-4.41$

The solutions of the given equation are -4.41 and -1.59.

Therefore option C is correct.