17x^2-84x-5=0

Solution for 17x^2-84x-5=0 equation:

17x^2-84x-5=0

a = 17; b = -84; c = -5;
Δ = b2-4ac
Δ = -842-4·17·(-5)
Δ = 7396
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7396}=86$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-84)-86}{2*17}=\frac{-2}{34}
=-1/17
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-84)+86}{2*17}=\frac{170}{34}
=5
$