9x2-155x-500=0

Solution for 9x2-155x-500=0 equation:

9x^2-155x-500=0

a = 9; b = -155; c = -500;
Δ = b2-4ac
Δ = -1552-4·9·(-500)
Δ = 42025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{42025}=205$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-155)-205}{2*9}=\frac{-50}{18}
=-2+7/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-155)+205}{2*9}=\frac{360}{18}
=20
$