11x^2-9x-15=-2

Solution for 11x^2-9x-15=-2 equation:

11x^2-9x-15=-2

We move all terms to the left:

11x^2-9x-15-(-2)=0

We add all the numbers together, and all the variables

11x^2-9x-13=0

a = 11; b = -9; c = -13;
Δ = b2-4ac
Δ = -92-4·11·(-13)
Δ = 653
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{-(-9)-\sqrt{653}}{2*11}=\frac{9-\sqrt{653}}{22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{653}}{2*11}=\frac{9+\sqrt{653}}{22}
$