Y=0,2x2-18

Solution for Y=0,2x2-18 equation:

=0.2Y^2-18

We move all terms to the left:

-(0.2Y^2-18)=0

We get rid of parentheses

-0.2Y^2+18=0

a = -0.2; b = 0; c = +18;
Δ = b2-4ac
Δ = 02-4·(-0.2)·18
Δ = 14.4
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{14.4}}{2*-0.2}=\frac{0-\sqrt{14.4}}{-0.4}
=-\frac{\sqrt{}}{-0.4}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{14.4}}{2*-0.2}=\frac{0+\sqrt{14.4}}{-0.4}
=\frac{\sqrt{}}{-0.4}
$