X=-x^2+60x+1000

Solution for X=-x^2+60x+1000 equation:

X=-X^2+60X+1000

We move all terms to the left:

X-(-X^2+60X+1000)=0

We get rid of parentheses

X^2-60X+X-1000=0

We add all the numbers together, and all the variables

X^2-59X-1000=0

a = 1; b = -59; c = -1000;
Δ = b2-4ac
Δ = -592-4·1·(-1000)
Δ = 7481
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{7481}}{2*1}=\frac{59-\sqrt{7481}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-59)+\sqrt{7481}}{2*1}=\frac{59+\sqrt{7481}}{2}
$