y=X^2/1+X^2

Solution for y=X^2/1+X^2 equation:

y=y^2/1+y^2

We move all terms to the left:

y-(y^2/1+y^2)=0


Domain of the equation: 1+y^2)!=0

We move all terms containing y to the left, all other terms to the right

y^2)!=-1

y!=-1/1

y!=-1

y∈R


We get rid of parentheses

-y^2/1-y^2+y=0

We multiply all the terms by the denominator


-y^2-y^2*1+y*1=0

We add all the numbers together, and all the variables

-1y^2-y^2*1+y*1=0

Wy multiply elements

-1y^2-1y^2+y=0

We add all the numbers together, and all the variables

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