2a^2-137a+2340=0

Solution for 2a^2-137a+2340=0 equation:

2a^2-137a+2340=0

a = 2; b = -137; c = +2340;
Δ = b2-4ac
Δ = -1372-4·2·2340
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-137)-7}{2*2}=\frac{130}{4}
=32+1/2
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-137)+7}{2*2}=\frac{144}{4}
=36
$