X^2-3x=62

Solution for X^2-3x=62 equation:

X^2-3X=62

We move all terms to the left:

X^2-3X-(62)=0

a = 1; b = -3; c = -62;
Δ = b2-4ac
Δ = -32-4·1·(-62)
Δ = 257
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{-(-3)-\sqrt{257}}{2*1}=\frac{3-\sqrt{257}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{257}}{2*1}=\frac{3+\sqrt{257}}{2}
$