9s^2-s-8=0

Solution for 9s^2-s-8=0 equation:

9s^2-s-8=0

We add all the numbers together, and all the variables

9s^2-1s-8=0

a = 9; b = -1; c = -8;
Δ = b2-4ac
Δ = -12-4·9·(-8)
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-17}{2*9}=\frac{-16}{18}
=-8/9
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+17}{2*9}=\frac{18}{18}
=1
$