30x^2+8x-70=0

Solution for 30x^2+8x-70=0 equation:

30x^2+8x-70=0

a = 30; b = 8; c = -70;
Δ = b2-4ac
Δ = 82-4·30·(-70)
Δ = 8464
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8464}=92$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-92}{2*30}=\frac{-100}{60}
=-1+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+92}{2*30}=\frac{84}{60}
=1+2/5
$