y*y=y/2

Solution for y*y=y/2 equation:

y*y=y/2

We move all terms to the left:

y*y-(y/2)=0

We add all the numbers together, and all the variables

y*y-(+y/2)=0

Wy multiply elements

y^2-(+y/2)=0

We get rid of parentheses

y^2-y/2=0

We multiply all the terms by the denominator


y^2*2-y=0

We add all the numbers together, and all the variables

y^2*2-1y=0

Wy multiply elements

2y^2-1y=0

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

$\sqrt{\Delta}=\sqrt{1}=1$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*2}=\frac{0}{4}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*2}=\frac{2}{4}
=1/2
$