X=(0.5*x^2)

Solution for X=(0.5*x^2) equation:

X=(0.5X^2)

We move all terms to the left:

X-((0.5X^2))=0


We calculate terms in parentheses: -((0.5X^2)), so:

(0.5X^2)

We get rid of parentheses

0.5X^2

Back to the equation:

-(0.5X^2)


We get rid of parentheses

-0.5X^2+X=0

a = -0.5; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-0.5)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-0.5}=\frac{-2}{-1}
=+2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-0.5}=\frac{0}{-1}
=0
$