-y2+60y-851=0

Solution for -y2+60y-851=0 equation:

-y2+60y-851=0

We add all the numbers together, and all the variables

-1y^2+60y-851=0

a = -1; b = 60; c = -851;
Δ = b2-4ac
Δ = 602-4·(-1)·(-851)
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-14}{2*-1}=\frac{-74}{-2}
=+37
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+14}{2*-1}=\frac{-46}{-2}
=+23
$