18x-2=17x2

Solution for 18x-2=17x2 equation:

18x-2=17x^2

We move all terms to the left:

18x-2-(17x^2)=0

determiningTheFunctionDomain
-17x^2+18x-2=0

a = -17; b = 18; c = -2;
Δ = b2-4ac
Δ = 182-4·(-17)·(-2)
Δ = 188
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{188}=\sqrt{4*47}=\sqrt{4}*\sqrt{47}=2\sqrt{47}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-2\sqrt{47}}{2*-17}=\frac{-18-2\sqrt{47}}{-34}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+2\sqrt{47}}{2*-17}=\frac{-18+2\sqrt{47}}{-34}
$