Y=-15x^2+79x+2

Solution for Y=-15x^2+79x+2 equation:

=-15Y^2+79Y+2

We move all terms to the left:

-(-15Y^2+79Y+2)=0

We get rid of parentheses

15Y^2-79Y-2=0

a = 15; b = -79; c = -2;
Δ = b2-4ac
Δ = -792-4·15·(-2)
Δ = 6361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-79)-\sqrt{6361}}{2*15}=\frac{79-\sqrt{6361}}{30}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-79)+\sqrt{6361}}{2*15}=\frac{79+\sqrt{6361}}{30}
$