1-2a-35a2=0

Solution for 1-2a-35a2=0 equation:

1-2a-35a^2=0

a = -35; b = -2; c = +1;
Δ = b2-4ac
Δ = -22-4·(-35)·1
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-12}{2*-35}=\frac{-10}{-70}
=1/7
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+12}{2*-35}=\frac{14}{-70}
=-1/5
$