Question

Which are the solutions of x2 = –7x – 8?

Answer 1

D on ed :)

Explanation:

Answer 2

The solutions are:

`x_1=(-7+√(17))/(2)`
`x_2=(-7-√(17))/(2)`

Explanation:

We have the following quadratic equation

`x^2 = -7x - 8`

We can rewrite the equation as follows

`x^2+7x + 8=0`

Now we use the quadratic formula to solve the equation

For an equation of the form
`ax ^ 2 + bx + c = 0` the quadratic formula is:

`x=(-b\±√(b^2-4ac))/(2a)`

In this case:

`a=1,\ b=7,\ c=8`

Then:

`x=(-7\±√(7^2-4(1)(8)))/(2(1))`

`x=(-7\±√(49-32))/(2)`

`x=(-7\±√(17))/(2)`

`x_1=(-7+√(17))/(2)`

`x_2=(-7-√(17))/(2)`