35x2-21x-476=0

Solution for 35x2-21x-476=0 equation:

35x^2-21x-476=0

a = 35; b = -21; c = -476;
Δ = b2-4ac
Δ = -212-4·35·(-476)
Δ = 67081
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{67081}=259$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-21)-259}{2*35}=\frac{-238}{70}
=-3+2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21)+259}{2*35}=\frac{280}{70}
=4
$