15x2-11x-12=0

Solution for 15x2-11x-12=0 equation:

15x^2-11x-12=0

a = 15; b = -11; c = -12;
Δ = b2-4ac
Δ = -112-4·15·(-12)
Δ = 841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{841}=29$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-29}{2*15}=\frac{-18}{30}
=-3/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+29}{2*15}=\frac{40}{30}
=1+1/3
$