100x^2-176x-528=0

Solution for 100x^2-176x-528=0 equation:

100x^2-176x-528=0

a = 100; b = -176; c = -528;
Δ = b2-4ac
Δ = -1762-4·100·(-528)
Δ = 242176
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:

$\sqrt{\Delta}=\sqrt{242176}=\sqrt{256*946}=\sqrt{256}*\sqrt{946}=16\sqrt{946}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-176)-16\sqrt{946}}{2*100}=\frac{176-16\sqrt{946}}{200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-176)+16\sqrt{946}}{2*100}=\frac{176+16\sqrt{946}}{200}
$