Question

Wich are the solutions of X2 = -5x + 8

Answer 1

`x = (-5+/-√(57) )/(2)`

Explanation:

To solve the quadratic equation, rearrange it into
`ax^2+bx+c`.

`x^2=-5x+8\\x^2 + 5x-8`

This quadratic is not factorable and to solve needs the quadratic formula.

The quadratic formula is
`x=(-b+/-√(b^2-4ac) )/(2a)`. Here a=1, b=5, and c=-8.

Substitute and you'll have:

`x=(-b+/-√(b^2-4ac) )/(2a) =(-5+/-√(5^2-4(1)(-8)) )/(2(1))=(-5+/-√(25+32) )/(2))`

`(-5+/-√(57) )/(2)`