X^2-56x-32=0

Solution for X^2-56x-32=0 equation:

X^2-56X-32=0

a = 1; b = -56; c = -32;
Δ = b2-4ac
Δ = -562-4·1·(-32)
Δ = 3264
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:

$\sqrt{\Delta}=\sqrt{3264}=\sqrt{64*51}=\sqrt{64}*\sqrt{51}=8\sqrt{51}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-8\sqrt{51}}{2*1}=\frac{56-8\sqrt{51}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+8\sqrt{51}}{2*1}=\frac{56+8\sqrt{51}}{2}
$