60x^2+38.4x+5.76=0

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

60x^2+38.4x+5.76=0

a = 60; b = 38.4; c = +5.76;
Δ = b2-4ac
Δ = 38.42-4·60·5.76
Δ = 92.16
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{-(38.4)-\sqrt{92.16}}{2*60}=\frac{-38.4-\sqrt{92.16}}{120}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(38.4)+\sqrt{92.16}}{2*60}=\frac{-38.4+\sqrt{92.16}}{120}
$