X^2-60X-30.25=y

Solution for X^2-60X-30.25=y equation:

X^2-60X-30.25=X

We move all terms to the left:

X^2-60X-30.25-(X)=0

We add all the numbers together, and all the variables

X^2-61X-30.25=0

a = 1; b = -61; c = -30.25;
Δ = b2-4ac
Δ = -612-4·1·(-30.25)
Δ = 3842
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{-(-61)-\sqrt{3842}}{2*1}=\frac{61-\sqrt{3842}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-61)+\sqrt{3842}}{2*1}=\frac{61+\sqrt{3842}}{2}
$