1.7x^2-95.2x+17883.8=17231

Solution for 1.7x^2-95.2x+17883.8=17231 equation:

1.7x^2-95.2x+17883.8=17231

We move all terms to the left:

1.7x^2-95.2x+17883.8-(17231)=0

We add all the numbers together, and all the variables

1.7x^2-95.2x+652.8=0

a = 1.7; b = -95.2; c = +652.8;
Δ = b2-4ac
Δ = -95.22-4·1.7·652.8
Δ = 4624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4624}=68$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-95.2)-68}{2*1.7}=\frac{27.2}{3.4}
=8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-95.2)+68}{2*1.7}=\frac{163.2}{3.4}
=48
$