(x)(x+2)=1088

Solution for (x)(x+2)=1088 equation:

(x)(x+2)=1088

We move all terms to the left:

(x)(x+2)-(1088)=0

We multiply parentheses

x^2+2x-1088=0

a = 1; b = 2; c = -1088;
Δ = b2-4ac
Δ = 22-4·1·(-1088)
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-66}{2*1}=\frac{-68}{2}
=-34
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+66}{2*1}=\frac{64}{2}
=32
$