11x^2-78x+72=0

Solution for 11x^2-78x+72=0 equation:

11x^2-78x+72=0

a = 11; b = -78; c = +72;
Δ = b2-4ac
Δ = -782-4·11·72
Δ = 2916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2916}=54$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-78)-54}{2*11}=\frac{24}{22}
=1+1/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-78)+54}{2*11}=\frac{132}{22}
=6
$