-24x2+88x-64=0

Solution for -24x2+88x-64=0 equation:

-24x^2+88x-64=0

a = -24; b = 88; c = -64;
Δ = b2-4ac
Δ = 882-4·(-24)·(-64)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(88)-40}{2*-24}=\frac{-128}{-48}
=2+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(88)+40}{2*-24}=\frac{-48}{-48}
=1
$