85x-0.5x^2=0

Solution for 85x-0.5x^2=0 equation:

85x-0.5x^2=0

a = -0.5; b = 85; c = 0;
Δ = b2-4ac
Δ = 852-4·(-0.5)·0
Δ = 7225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7225}=85$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(85)-85}{2*-0.5}=\frac{-170}{-1}
=+170
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(85)+85}{2*-0.5}=\frac{0}{-1}
=0
$