9x^2+85x-3300=0

Solution for 9x^2+85x-3300=0 equation:

9x^2+85x-3300=0

a = 9; b = 85; c = -3300;
Δ = b2-4ac
Δ = 852-4·9·(-3300)
Δ = 126025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{126025}=355$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(85)-355}{2*9}=\frac{-440}{18}
=-24+4/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(85)+355}{2*9}=\frac{270}{18}
=15
$