9x^2-18x-32=0

Solution for 9x^2-18x-32=0 equation:

9x^2-18x-32=0

a = 9; b = -18; c = -32;
Δ = b2-4ac
Δ = -182-4·9·(-32)
Δ = 1476
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1476}=\sqrt{36*41}=\sqrt{36}*\sqrt{41}=6\sqrt{41}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-6\sqrt{41}}{2*9}=\frac{18-6\sqrt{41}}{18}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+6\sqrt{41}}{2*9}=\frac{18+6\sqrt{41}}{18}
$