Y=0.555556x^2-5

Solution for Y=0.555556x^2-5 equation:

=0.555556Y^2-5

We move all terms to the left:

-(0.555556Y^2-5)=0

We get rid of parentheses

-0.555556Y^2+5=0

a = -0.555556; b = 0; c = +5;
Δ = b2-4ac
Δ = 02-4·(-0.555556)·5
Δ = 11.11112
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{11.11112}}{2*-0.555556}=\frac{0-\sqrt{11.11112}}{-1.111112}
=-\frac{\sqrt{}}{-1.111112}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{11.11112}}{2*-0.555556}=\frac{0+\sqrt{11.11112}}{-1.111112}
=\frac{\sqrt{}}{-1.111112}
$