Y=-0.017x^2+0.98x+0.33

Solution for Y=-0.017x^2+0.98x+0.33 equation:

=-0.017Y^2+0.98Y+0.33

We move all terms to the left:

-(-0.017Y^2+0.98Y+0.33)=0

We get rid of parentheses

0.017Y^2-0.98Y-0.33=0

a = 0.017; b = -0.98; c = -0.33;
Δ = b2-4ac
Δ = -0.982-4·0.017·(-0.33)
Δ = 0.98284
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{-(-0.98)-\sqrt{0.98284}}{2*0.017}=\frac{0.98-\sqrt{0.98284}}{0.034}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.98)+\sqrt{0.98284}}{2*0.017}=\frac{0.98+\sqrt{0.98284}}{0.034}
$