Y=-0.2x^2+1.4

Solution for Y=-0.2x^2+1.4 equation:

=-0.2Y^2+1.4

We move all terms to the left:

-(-0.2Y^2+1.4)=0

We get rid of parentheses

0.2Y^2-1.4=0

a = 0.2; b = 0; c = -1.4;
Δ = b2-4ac
Δ = 02-4·0.2·(-1.4)
Δ = 1.12
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{1.12}}{2*0.2}=\frac{0-\sqrt{1.12}}{0.4}
=-\frac{\sqrt{}}{0.4}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1.12}}{2*0.2}=\frac{0+\sqrt{1.12}}{0.4}
=\frac{\sqrt{}}{0.4}
$