-16x^2+76x-60=0

Solution for -16x^2+76x-60=0 equation:

-16x^2+76x-60=0

a = -16; b = 76; c = -60;
Δ = b2-4ac
Δ = 762-4·(-16)·(-60)
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(76)-44}{2*-16}=\frac{-120}{-32}
=3+3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(76)+44}{2*-16}=\frac{-32}{-32}
=1
$