17x-2=8x^2

Solution for 17x-2=8x^2 equation:

17x-2=8x^2

We move all terms to the left:

17x-2-(8x^2)=0

determiningTheFunctionDomain
-8x^2+17x-2=0

a = -8; b = 17; c = -2;
Δ = b2-4ac
Δ = 172-4·(-8)·(-2)
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-15}{2*-8}=\frac{-32}{-16}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+15}{2*-8}=\frac{-2}{-16}
=1/8
$