-9x^2+3200x-159600=0

Solution for -9x^2+3200x-159600=0 equation:

-9x^2+3200x-159600=0

a = -9; b = 3200; c = -159600;
Δ = b2-4ac
Δ = 32002-4·(-9)·(-159600)
Δ = 4494400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4494400}=2120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3200)-2120}{2*-9}=\frac{-5320}{-18}
=295+5/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3200)+2120}{2*-9}=\frac{-1080}{-18}
=+60
$