9x^2-155x-1000=0

Solution for 9x^2-155x-1000=0 equation:

9x^2-155x-1000=0

a = 9; b = -155; c = -1000;
Δ = b2-4ac
Δ = -1552-4·9·(-1000)
Δ = 60025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{60025}=245$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-155)-245}{2*9}=\frac{-90}{18}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-155)+245}{2*9}=\frac{400}{18}
=22+2/9
$