39x-16x^2=0

Solution for 39x-16x^2=0 equation:

39x-16x^2=0

a = -16; b = 39; c = 0;
Δ = b2-4ac
Δ = 392-4·(-16)·0
Δ = 1521
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1521}=39$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(39)-39}{2*-16}=\frac{-78}{-32}
=2+7/16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(39)+39}{2*-16}=\frac{0}{-32}
=0
$