17x2+15x-14=0

Solution for 17x2+15x-14=0 equation:

17x^2+15x-14=0

a = 17; b = 15; c = -14;
Δ = b2-4ac
Δ = 152-4·17·(-14)
Δ = 1177
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-\sqrt{1177}}{2*17}=\frac{-15-\sqrt{1177}}{34}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{1177}}{2*17}=\frac{-15+\sqrt{1177}}{34}
$