Y=0.17x^2-15

Solution for Y=0.17x^2-15 equation:

=0.17Y^2-15

We move all terms to the left:

-(0.17Y^2-15)=0

We get rid of parentheses

-0.17Y^2+15=0

a = -0.17; b = 0; c = +15;
Δ = b2-4ac
Δ = 02-4·(-0.17)·15
Δ = 10.2
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)-\sqrt{10.2}}{2*-0.17}=\frac{0-\sqrt{10.2}}{-0.34}
=-\frac{\sqrt{}}{-0.34}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{10.2}}{2*-0.17}=\frac{0+\sqrt{10.2}}{-0.34}
=\frac{\sqrt{}}{-0.34}
$