x^2-961x+72=0

Solution for x^2-961x+72=0 equation:

x^2-961x+72=0

a = 1; b = -961; c = +72;
Δ = b2-4ac
Δ = -9612-4·1·72
Δ = 923233
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-961)-\sqrt{923233}}{2*1}=\frac{961-\sqrt{923233}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-961)+\sqrt{923233}}{2*1}=\frac{961+\sqrt{923233}}{2}
$