x^2-56x+88=0

Solution for x^2-56x+88=0 equation:

x^2-56x+88=0

a = 1; b = -56; c = +88;
Δ = b2-4ac
Δ = -562-4·1·88
Δ = 2784
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:

$\sqrt{\Delta}=\sqrt{2784}=\sqrt{16*174}=\sqrt{16}*\sqrt{174}=4\sqrt{174}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-4\sqrt{174}}{2*1}=\frac{56-4\sqrt{174}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+4\sqrt{174}}{2*1}=\frac{56+4\sqrt{174}}{2}
$