x^2-100x+156=0

Solution for x^2-100x+156=0 equation:

x^2-100x+156=0

a = 1; b = -100; c = +156;
Δ = b2-4ac
Δ = -1002-4·1·156
Δ = 9376
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:

$\sqrt{\Delta}=\sqrt{9376}=\sqrt{16*586}=\sqrt{16}*\sqrt{586}=4\sqrt{586}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-4\sqrt{586}}{2*1}=\frac{100-4\sqrt{586}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+4\sqrt{586}}{2*1}=\frac{100+4\sqrt{586}}{2}
$