x^2-136*x+136=0

Solution for x^2-136*x+136=0 equation:

x^2-136x+136=0

a = 1; b = -136; c = +136;
Δ = b2-4ac
Δ = -1362-4·1·136
Δ = 17952
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:

$\sqrt{\Delta}=\sqrt{17952}=\sqrt{16*1122}=\sqrt{16}*\sqrt{1122}=4\sqrt{1122}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-136)-4\sqrt{1122}}{2*1}=\frac{136-4\sqrt{1122}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-136)+4\sqrt{1122}}{2*1}=\frac{136+4\sqrt{1122}}{2}
$