X^2+60x-75=0

Solution for X^2+60x-75=0 equation:

X^2+60X-75=0

a = 1; b = 60; c = -75;
Δ = b2-4ac
Δ = 602-4·1·(-75)
Δ = 3900
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:

$\sqrt{\Delta}=\sqrt{3900}=\sqrt{100*39}=\sqrt{100}*\sqrt{39}=10\sqrt{39}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-10\sqrt{39}}{2*1}=\frac{-60-10\sqrt{39}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+10\sqrt{39}}{2*1}=\frac{-60+10\sqrt{39}}{2}
$