(x-1)(x+)=8

Solution for (x-1)(x+)=8 equation:

(x-1)(x+)=8

We move all terms to the left:

(x-1)(x+)-(8)=0

We add all the numbers together, and all the variables

(x-1)(+x)-8=0

We multiply parentheses ..

(+x^2-1x)-8=0

We get rid of parentheses

x^2-1x-8=0

a = 1; b = -1; c = -8;
Δ = b2-4ac
Δ = -12-4·1·(-8)
Δ = 33
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{33}}{2*1}=\frac{1-\sqrt{33}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{33}}{2*1}=\frac{1+\sqrt{33}}{2}
$