-4.15x^2+6.1x+2.9=0

Solution for -4.15x^2+6.1x+2.9=0 equation:

-4.15x^2+6.1x+2.9=0

a = -4.15; b = 6.1; c = +2.9;
Δ = b2-4ac
Δ = 6.12-4·(-4.15)·2.9
Δ = 85.35
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{-(6.1)-\sqrt{85.35}}{2*-4.15}=\frac{-6.1-\sqrt{85.35}}{-8.3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6.1)+\sqrt{85.35}}{2*-4.15}=\frac{-6.1+\sqrt{85.35}}{-8.3}
$