9x^2-50x-375=0

Solution for 9x^2-50x-375=0 equation:

9x^2-50x-375=0

a = 9; b = -50; c = -375;
Δ = b2-4ac
Δ = -502-4·9·(-375)
Δ = 16000
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:

$\sqrt{\Delta}=\sqrt{16000}=\sqrt{1600*10}=\sqrt{1600}*\sqrt{10}=40\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-40\sqrt{10}}{2*9}=\frac{50-40\sqrt{10}}{18}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+40\sqrt{10}}{2*9}=\frac{50+40\sqrt{10}}{18}
$