1.7x^2-95.2x+17883.8=18081

Solution for 1.7x^2-95.2x+17883.8=18081 equation:

1.7x^2-95.2x+17883.8=18081

We move all terms to the left:

1.7x^2-95.2x+17883.8-(18081)=0

We add all the numbers together, and all the variables

1.7x^2-95.2x-197.2=0

a = 1.7; b = -95.2; c = -197.2;
Δ = b2-4ac
Δ = -95.22-4·1.7·(-197.2)
Δ = 10404
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10404}=102$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-95.2)-102}{2*1.7}=\frac{-6.8}{3.4}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-95.2)+102}{2*1.7}=\frac{197.2}{3.4}
=58
$