Y=7.2x^2-33.1x+18.3

Solution for Y=7.2x^2-33.1x+18.3 equation:

=7.2Y^2-33.1Y+18.3

We move all terms to the left:

-(7.2Y^2-33.1Y+18.3)=0

We get rid of parentheses

-7.2Y^2+33.1Y-18.3=0

a = -7.2; b = 33.1; c = -18.3;
Δ = b2-4ac
Δ = 33.12-4·(-7.2)·(-18.3)
Δ = 568.57
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{-(33.1)-\sqrt{568.57}}{2*-7.2}=\frac{-33.1-\sqrt{568.57}}{-14.4}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33.1)+\sqrt{568.57}}{2*-7.2}=\frac{-33.1+\sqrt{568.57}}{-14.4}
$