-11x^2+60x-64=0

Solution for -11x^2+60x-64=0 equation:

-11x^2+60x-64=0

a = -11; b = 60; c = -64;
Δ = b2-4ac
Δ = 602-4·(-11)·(-64)
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-28}{2*-11}=\frac{-88}{-22}
=+4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+28}{2*-11}=\frac{-32}{-22}
=1+5/11
$