18x^2-61x=62

Solution for 18x^2-61x=62 equation:

18x^2-61x=62

We move all terms to the left:

18x^2-61x-(62)=0

a = 18; b = -61; c = -62;
Δ = b2-4ac
Δ = -612-4·18·(-62)
Δ = 8185
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{8185}}{2*18}=\frac{61-\sqrt{8185}}{36}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-61)+\sqrt{8185}}{2*18}=\frac{61+\sqrt{8185}}{36}
$