Y=0.5x2+2x2-7

Solution for Y=0.5x2+2x2-7 equation:

=0.5Y^2+2Y^2-7

We move all terms to the left:

-(0.5Y^2+2Y^2-7)=0

We get rid of parentheses

-0.5Y^2-2Y^2+7=0

We add all the numbers together, and all the variables

-2.5Y^2+7=0

a = -2.5; b = 0; c = +7;
Δ = b2-4ac
Δ = 02-4·(-2.5)·7
Δ = 70
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{70}}{2*-2.5}=\frac{0-\sqrt{70}}{-5}
=-\frac{\sqrt{}}{-5}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{70}}{2*-2.5}=\frac{0+\sqrt{70}}{-5}
=\frac{\sqrt{}}{-5}
$