9x^2-655x-1500=0

Solution for 9x^2-655x-1500=0 equation:

9x^2-655x-1500=0

a = 9; b = -655; c = -1500;
Δ = b2-4ac
Δ = -6552-4·9·(-1500)
Δ = 483025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{483025}=695$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-655)-695}{2*9}=\frac{-40}{18}
=-2+2/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-655)+695}{2*9}=\frac{1350}{18}
=75
$