15x2-11x-13=0

Solution for 15x2-11x-13=0 equation:

15x^2-11x-13=0

a = 15; b = -11; c = -13;
Δ = b2-4ac
Δ = -112-4·15·(-13)
Δ = 901
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-\sqrt{901}}{2*15}=\frac{11-\sqrt{901}}{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{901}}{2*15}=\frac{11+\sqrt{901}}{30}
$