9x^2-144x-153=0

Solution for 9x^2-144x-153=0 equation:

9x^2-144x-153=0

a = 9; b = -144; c = -153;
Δ = b2-4ac
Δ = -1442-4·9·(-153)
Δ = 26244
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{26244}=162$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-144)-162}{2*9}=\frac{-18}{18}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-144)+162}{2*9}=\frac{306}{18}
=17
$