8x^2-70x-18=0

Solution for 8x^2-70x-18=0 equation:

8x^2-70x-18=0

a = 8; b = -70; c = -18;
Δ = b2-4ac
Δ = -702-4·8·(-18)
Δ = 5476
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5476}=74$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-74}{2*8}=\frac{-4}{16}
=-1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+74}{2*8}=\frac{144}{16}
=9
$