Question

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

A.4.41,1.59
B.-4.41,1.59
C.-4.41,-1.59
D.4.41,-1.59

Answer 1

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

Answer 2

The correct option is C.

Explanation:

The given equation is

`x^2+6x=-7`

If expression is defined as
`x^2+bx`, then we add
`((-b)/(2))^2` to make it perfect square.

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

`((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 √(2)`

`x=-3\pm √(2)`

`x=-3+√(2),-3-√(2)`

`x=-1.59,-4.41`

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

Therefore option C is correct.