2x^2-5x-1650=0

Solution for 2x^2-5x-1650=0 equation:

2x^2-5x-1650=0

a = 2; b = -5; c = -1650;
Δ = b2-4ac
Δ = -52-4·2·(-1650)
Δ = 13225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13225}=115$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-115}{2*2}=\frac{-110}{4}
=-27+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+115}{2*2}=\frac{120}{4}
=30
$