5.76x2+2.86x-1.35=0

Solution for 5.76x2+2.86x-1.35=0 equation:

5.76x^2+2.86x-1.35=0

a = 5.76; b = 2.86; c = -1.35;
Δ = b2-4ac
Δ = 2.862-4·5.76·(-1.35)
Δ = 39.2836
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{-(2.86)-\sqrt{39.2836}}{2*5.76}=\frac{-2.86-\sqrt{39.2836}}{11.52}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.86)+\sqrt{39.2836}}{2*5.76}=\frac{-2.86+\sqrt{39.2836}}{11.52}
$