360x-2x^2=170

Solution for 360x-2x^2=170 equation:

360x-2x^2=170

We move all terms to the left:

360x-2x^2-(170)=0

a = -2; b = 360; c = -170;
Δ = b2-4ac
Δ = 3602-4·(-2)·(-170)
Δ = 128240
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:

$\sqrt{\Delta}=\sqrt{128240}=\sqrt{16*8015}=\sqrt{16}*\sqrt{8015}=4\sqrt{8015}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(360)-4\sqrt{8015}}{2*-2}=\frac{-360-4\sqrt{8015}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(360)+4\sqrt{8015}}{2*-2}=\frac{-360+4\sqrt{8015}}{-4}
$