35x^2-170x+2=0

Solution for 35x^2-170x+2=0 equation:

35x^2-170x+2=0

a = 35; b = -170; c = +2;
Δ = b2-4ac
Δ = -1702-4·35·2
Δ = 28620
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{28620}=\sqrt{36*795}=\sqrt{36}*\sqrt{795}=6\sqrt{795}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-170)-6\sqrt{795}}{2*35}=\frac{170-6\sqrt{795}}{70}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-170)+6\sqrt{795}}{2*35}=\frac{170+6\sqrt{795}}{70}
$