9x2-12x-140=0

Solution for 9x2-12x-140=0 equation:

9x^2-12x-140=0

a = 9; b = -12; c = -140;
Δ = b2-4ac
Δ = -122-4·9·(-140)
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-72}{2*9}=\frac{-60}{18}
=-3+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+72}{2*9}=\frac{84}{18}
=4+2/3
$