11x^2+15/11=8x

Solution for 11x^2+15/11=8x equation:

11x^2+15/11=8x

We move all terms to the left:

11x^2+15/11-(8x)=0

We multiply all the terms by the denominator


11x^2*11-8x*11+15=0

Wy multiply elements

121x^2-88x+15=0

a = 121; b = -88; c = +15;
Δ = b2-4ac
Δ = -882-4·121·15
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-88)-22}{2*121}=\frac{66}{242}
=3/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-88)+22}{2*121}=\frac{110}{242}
=5/11
$