Y=4x2-15x-10

Solution for Y=4x2-15x-10 equation:

=4Y^2-15Y-10

We move all terms to the left:

-(4Y^2-15Y-10)=0

We get rid of parentheses

-4Y^2+15Y+10=0

a = -4; b = 15; c = +10;
Δ = b2-4ac
Δ = 152-4·(-4)·10
Δ = 385
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{-(15)-\sqrt{385}}{2*-4}=\frac{-15-\sqrt{385}}{-8}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{385}}{2*-4}=\frac{-15+\sqrt{385}}{-8}
$