2.91x^2-2.108x+.04=0

Solution for 2.91x^2-2.108x+.04=0 equation:

2.91x^2-2.108x+.04=0

We add all the numbers together, and all the variables

2.91x^2-2.108x+0.04=0

a = 2.91; b = -2.108; c = +0.04;
Δ = b2-4ac
Δ = -2.1082-4·2.91·0.04
Δ = 3.978064
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{-(-2.108)-\sqrt{3.978064}}{2*2.91}=\frac{2.108-\sqrt{3.978064}}{5.82}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.108)+\sqrt{3.978064}}{2*2.91}=\frac{2.108+\sqrt{3.978064}}{5.82}
$