0,1735=0,0311x^2+0,113x-0,0587

Solution for 0,1735=0,0311x^2+0,113x-0,0587 equation:

0.1735=0.0311x^2+0.113x-0.0587

We move all terms to the left:

0.1735-(0.0311x^2+0.113x-0.0587)=0

We get rid of parentheses

-0.0311x^2-0.113x+0.0587+0.1735=0

We add all the numbers together, and all the variables

-0.0311x^2-0.113x+0.2322=0

a = -0.0311; b = -0.113; c = +0.2322;
Δ = b2-4ac
Δ = -0.1132-4·(-0.0311)·0.2322
Δ = 0.04165468
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{-(-0.113)-\sqrt{0.04165468}}{2*-0.0311}=\frac{0.113-\sqrt{0.04165468}}{-0.0622}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.113)+\sqrt{0.04165468}}{2*-0.0311}=\frac{0.113+\sqrt{0.04165468}}{-0.0622}
$