35x2-24x-35=0

Solution for 35x2-24x-35=0 equation:

35x^2-24x-35=0

a = 35; b = -24; c = -35;
Δ = b2-4ac
Δ = -242-4·35·(-35)
Δ = 5476
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5476}=74$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-74}{2*35}=\frac{-50}{70}
=-5/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+74}{2*35}=\frac{98}{70}
=1+2/5
$