17x^2-2x=15

Solution for 17x^2-2x=15 equation:

17x^2-2x=15

We move all terms to the left:

17x^2-2x-(15)=0

a = 17; b = -2; c = -15;
Δ = b2-4ac
Δ = -22-4·17·(-15)
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-32}{2*17}=\frac{-30}{34}
=-15/17
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+32}{2*17}=\frac{34}{34}
=1
$