127128x^2-36136x+35=0

Solution for 127128x^2-36136x+35=0 equation:

127128x^2-36136x+35=0

a = 127128; b = -36136; c = +35;
Δ = b2-4ac
Δ = -361362-4·127128·35
Δ = 1288012576
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:

$\sqrt{\Delta}=\sqrt{1288012576}=\sqrt{16*80500786}=\sqrt{16}*\sqrt{80500786}=4\sqrt{80500786}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36136)-4\sqrt{80500786}}{2*127128}=\frac{36136-4\sqrt{80500786}}{254256}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36136)+4\sqrt{80500786}}{2*127128}=\frac{36136+4\sqrt{80500786}}{254256}
$