X^2-108x+324=0

Solution for X^2-108x+324=0 equation:

X^2-108X+324=0

a = 1; b = -108; c = +324;
Δ = b2-4ac
Δ = -1082-4·1·324
Δ = 10368
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:

$\sqrt{\Delta}=\sqrt{10368}=\sqrt{5184*2}=\sqrt{5184}*\sqrt{2}=72\sqrt{2}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-108)-72\sqrt{2}}{2*1}=\frac{108-72\sqrt{2}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-108)+72\sqrt{2}}{2*1}=\frac{108+72\sqrt{2}}{2}
$