7x^2-x-108=0

Solution for 7x^2-x-108=0 equation:

7x^2-x-108=0

We add all the numbers together, and all the variables

7x^2-1x-108=0

a = 7; b = -1; c = -108;
Δ = b2-4ac
Δ = -12-4·7·(-108)
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-55}{2*7}=\frac{-54}{14}
=-3+6/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+55}{2*7}=\frac{56}{14}
=4
$