2y^2-39y+54=0

Solution for 2y^2-39y+54=0 equation:

2y^2-39y+54=0

a = 2; b = -39; c = +54;
Δ = b2-4ac
Δ = -392-4·2·54
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-39)-33}{2*2}=\frac{6}{4}
=1+1/2
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-39)+33}{2*2}=\frac{72}{4}
=18
$