X^2+59x+60=0

Solution for X^2+59x+60=0 equation:

X^2+59X+60=0

a = 1; b = 59; c = +60;
Δ = b2-4ac
Δ = 592-4·1·60
Δ = 3241
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{-(59)-\sqrt{3241}}{2*1}=\frac{-59-\sqrt{3241}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(59)+\sqrt{3241}}{2*1}=\frac{-59+\sqrt{3241}}{2}
$