2x2-3x-1710=0

Solution for 2x2-3x-1710=0 equation:

2x^2-3x-1710=0

a = 2; b = -3; c = -1710;
Δ = b2-4ac
Δ = -32-4·2·(-1710)
Δ = 13689
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13689}=117$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-117}{2*2}=\frac{-114}{4}
=-28+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+117}{2*2}=\frac{120}{4}
=30
$