35x^2-16x-100=0

Solution for 35x^2-16x-100=0 equation:

35x^2-16x-100=0

a = 35; b = -16; c = -100;
Δ = b2-4ac
Δ = -162-4·35·(-100)
Δ = 14256
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:

$\sqrt{\Delta}=\sqrt{14256}=\sqrt{1296*11}=\sqrt{1296}*\sqrt{11}=36\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-36\sqrt{11}}{2*35}=\frac{16-36\sqrt{11}}{70}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+36\sqrt{11}}{2*35}=\frac{16+36\sqrt{11}}{70}
$