-6y^2+520y=2450

Solution for -6y^2+520y=2450 equation:

-6y^2+520y=2450

We move all terms to the left:

-6y^2+520y-(2450)=0

a = -6; b = 520; c = -2450;
Δ = b2-4ac
Δ = 5202-4·(-6)·(-2450)
Δ = 211600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{211600}=460$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(520)-460}{2*-6}=\frac{-980}{-12}
=81+2/3
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(520)+460}{2*-6}=\frac{-60}{-12}
=+5
$