Y=5-0.5x2

Solution for Y=5-0.5x2 equation:

=5-0.5Y^2

We move all terms to the left:

-(5-0.5Y^2)=0

We get rid of parentheses

0.5Y^2-5=0

a = 0.5; b = 0; c = -5;
Δ = b2-4ac
Δ = 02-4·0.5·(-5)
Δ = 10
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*0.5}=\frac{0-\sqrt{10}}{1}
=-\frac{\sqrt{}}{1}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{10}}{2*0.5}=\frac{0+\sqrt{10}}{1}
=\frac{\sqrt{}}{1}
$