X^2=68-y

Solution for X^2=68-y equation:

X^2=68-X

We move all terms to the left:

X^2-(68-X)=0

We add all the numbers together, and all the variables

X^2-(-1X+68)=0

We get rid of parentheses

X^2+1X-68=0

We add all the numbers together, and all the variables

X^2+X-68=0

a = 1; b = 1; c = -68;
Δ = b2-4ac
Δ = 12-4·1·(-68)
Δ = 273
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{273}}{2*1}=\frac{-1-\sqrt{273}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{273}}{2*1}=\frac{-1+\sqrt{273}}{2}
$