7-26s-8s^2=0

Solution for 7-26s-8s^2=0 equation:

7-26s-8s^2=0

a = -8; b = -26; c = +7;
Δ = b2-4ac
Δ = -262-4·(-8)·7
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-26)-30}{2*-8}=\frac{-4}{-16}
=1/4
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26)+30}{2*-8}=\frac{56}{-16}
=-3+1/2
$