Question

What is the solutions of x2 = –5x + 8?

Answer 1

`x=√(14.25) -2.5, x=-√(14.25)-2.5`

Explanation:

Since moving it to one side can't be factored, I'm going to complete the square.

`x^2+5x=8`

`x^2+5x+6.25=8+6.25`

`(x+2.5)^2=14.25`

`x+2.5=√(14.25)`

`x=√(14.25) -2.5, x=-√(14.25)-2.5`