0.2313x^2+2.600x+35.17=70

Solution for 0.2313x^2+2.600x+35.17=70 equation:

0.2313x^2+2.600x+35.17=70

We move all terms to the left:

0.2313x^2+2.600x+35.17-(70)=0

We add all the numbers together, and all the variables

0.2313x^2+2.600x-34.83=0

a = 0.2313; b = 2.600; c = -34.83;
Δ = b2-4ac
Δ = 2.6002-4·0.2313·(-34.83)
Δ = 38.984716
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{-(2.600)-\sqrt{38.984716}}{2*0.2313}=\frac{-2.6-\sqrt{38.984716}}{0.4626}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.600)+\sqrt{38.984716}}{2*0.2313}=\frac{-2.6+\sqrt{38.984716}}{0.4626}
$