2x^2-32x+88=0

Solution for 2x^2-32x+88=0 equation:

2x^2-32x+88=0

a = 2; b = -32; c = +88;
Δ = b2-4ac
Δ = -322-4·2·88
Δ = 320
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{320}=\sqrt{64*5}=\sqrt{64}*\sqrt{5}=8\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-8\sqrt{5}}{2*2}=\frac{32-8\sqrt{5}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+8\sqrt{5}}{2*2}=\frac{32+8\sqrt{5}}{4}
$