35x^2-6x-77=0

Solution for 35x^2-6x-77=0 equation:

35x^2-6x-77=0

a = 35; b = -6; c = -77;
Δ = b2-4ac
Δ = -62-4·35·(-77)
Δ = 10816
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10816}=104$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-104}{2*35}=\frac{-98}{70}
=-1+2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+104}{2*35}=\frac{110}{70}
=1+4/7
$