4x^2+82x-2130=0

Solution for 4x^2+82x-2130=0 equation:

4x^2+82x-2130=0

a = 4; b = 82; c = -2130;
Δ = b2-4ac
Δ = 822-4·4·(-2130)
Δ = 40804
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40804}=202$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(82)-202}{2*4}=\frac{-284}{8}
=-35+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(82)+202}{2*4}=\frac{120}{8}
=15
$