70x^2-73x-8=0

Solution for 70x^2-73x-8=0 equation:

70x^2-73x-8=0

a = 70; b = -73; c = -8;
Δ = b2-4ac
Δ = -732-4·70·(-8)
Δ = 7569
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7569}=87$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-73)-87}{2*70}=\frac{-14}{140}
=-1/10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-73)+87}{2*70}=\frac{160}{140}
=1+1/7
$