11k^2-15=11k

Solution for 11k^2-15=11k equation:

11k^2-15=11k

We move all terms to the left:

11k^2-15-(11k)=0

a = 11; b = -11; c = -15;
Δ = b2-4ac
Δ = -112-4·11·(-15)
Δ = 781
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-\sqrt{781}}{2*11}=\frac{11-\sqrt{781}}{22}
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{781}}{2*11}=\frac{11+\sqrt{781}}{22}
$