X^2-68x+756=0

Solution for X^2-68x+756=0 equation:

X^2-68X+756=0

a = 1; b = -68; c = +756;
Δ = b2-4ac
Δ = -682-4·1·756
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-68)-40}{2*1}=\frac{28}{2}
=14
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-68)+40}{2*1}=\frac{108}{2}
=54
$