70x^2+85x+15=0

Solution for 70x^2+85x+15=0 equation:

70x^2+85x+15=0

a = 70; b = 85; c = +15;
Δ = b2-4ac
Δ = 852-4·70·15
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(85)-55}{2*70}=\frac{-140}{140}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(85)+55}{2*70}=\frac{-30}{140}
=-3/14
$