35x^2+11x-72=0

Solution for 35x^2+11x-72=0 equation:

35x^2+11x-72=0

a = 35; b = 11; c = -72;
Δ = b2-4ac
Δ = 112-4·35·(-72)
Δ = 10201
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10201}=101$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-101}{2*35}=\frac{-112}{70}
=-1+3/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+101}{2*35}=\frac{90}{70}
=1+2/7
$