35x^2-115x+30=0

Solution for 35x^2-115x+30=0 equation:

35x^2-115x+30=0

a = 35; b = -115; c = +30;
Δ = b2-4ac
Δ = -1152-4·35·30
Δ = 9025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9025}=95$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-115)-95}{2*35}=\frac{20}{70}
=2/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-115)+95}{2*35}=\frac{210}{70}
=3
$