63x^2-3x-8=0

Solution for 63x^2-3x-8=0 equation:

63x^2-3x-8=0

a = 63; b = -3; c = -8;
Δ = b2-4ac
Δ = -32-4·63·(-8)
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-45}{2*63}=\frac{-42}{126}
=-1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+45}{2*63}=\frac{48}{126}
=8/21
$