-9x^2+17x+2=0

Solution for -9x^2+17x+2=0 equation:

-9x^2+17x+2=0

a = -9; b = 17; c = +2;
Δ = b2-4ac
Δ = 172-4·(-9)·2
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-19}{2*-9}=\frac{-36}{-18}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+19}{2*-9}=\frac{2}{-18}
=-1/9
$