0=x^2-9x-17010

Solution for 0=x^2-9x-17010 equation:

0=x^2-9x-17010

We move all terms to the left:

0-(x^2-9x-17010)=0

We add all the numbers together, and all the variables

-(x^2-9x-17010)=0

We get rid of parentheses

-x^2+9x+17010=0

We add all the numbers together, and all the variables

-1x^2+9x+17010=0

a = -1; b = 9; c = +17010;
Δ = b2-4ac
Δ = 92-4·(-1)·17010
Δ = 68121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{68121}=261$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-261}{2*-1}=\frac{-270}{-2}
=+135
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+261}{2*-1}=\frac{252}{-2}
=-126
$