0.05x^2-2.65x+35.1=0

Solution for 0.05x^2-2.65x+35.1=0 equation:

0.05x^2-2.65x+35.1=0

a = 0.05; b = -2.65; c = +35.1;
Δ = b2-4ac
Δ = -2.652-4·0.05·35.1
Δ = 0.0024999999999995
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{-(-2.65)-\sqrt{0.0024999999999995}}{2*0.05}=\frac{2.65-\sqrt{0.0024999999999995}}{0.1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.65)+\sqrt{0.0024999999999995}}{2*0.05}=\frac{2.65+\sqrt{0.0024999999999995}}{0.1}
$