60x^2-38.4+5.76=0

Solution for 60x^2-38.4+5.76=0 equation:

60x^2-38.4+5.76=0

We add all the numbers together, and all the variables

60x^2-32.64=0

a = 60; b = 0; c = -32.64;
Δ = b2-4ac
Δ = 02-4·60·(-32.64)
Δ = 7833.6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{7833.6}}{2*60}=\frac{0-\sqrt{7833.6}}{120}
=-\frac{\sqrt{}}{120}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{7833.6}}{2*60}=\frac{0+\sqrt{7833.6}}{120}
=\frac{\sqrt{}}{120}
$