2x^2-70x-180=0

Solution for 2x^2-70x-180=0 equation:

2x^2-70x-180=0

a = 2; b = -70; c = -180;
Δ = b2-4ac
Δ = -702-4·2·(-180)
Δ = 6340
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{6340}=\sqrt{4*1585}=\sqrt{4}*\sqrt{1585}=2\sqrt{1585}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-2\sqrt{1585}}{2*2}=\frac{70-2\sqrt{1585}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+2\sqrt{1585}}{2*2}=\frac{70+2\sqrt{1585}}{4}
$