-x^2+60x-750=0

Solution for -x^2+60x-750=0 equation:

-x^2+60x-750=0

We add all the numbers together, and all the variables

-1x^2+60x-750=0

a = -1; b = 60; c = -750;
Δ = b2-4ac
Δ = 602-4·(-1)·(-750)
Δ = 600
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:

$\sqrt{\Delta}=\sqrt{600}=\sqrt{100*6}=\sqrt{100}*\sqrt{6}=10\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-10\sqrt{6}}{2*-1}=\frac{-60-10\sqrt{6}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+10\sqrt{6}}{2*-1}=\frac{-60+10\sqrt{6}}{-2}
$