4X^2-68=y

Solution for 4X^2-68=y equation:

4X^2-68=X

We move all terms to the left:

4X^2-68-(X)=0

We add all the numbers together, and all the variables

4X^2-1X-68=0

a = 4; b = -1; c = -68;
Δ = b2-4ac
Δ = -12-4·4·(-68)
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-33}{2*4}=\frac{-32}{8}
=-4
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+33}{2*4}=\frac{34}{8}
=4+1/4
$