x2-x-6=(14)(6)

Solution for x2-x-6=(14)(6) equation:

x2-x-6=(14)(6)

We move all terms to the left:

x2-x-6-((14)(6))=0

determiningTheFunctionDomain
x2-x-6-146=0

We add all the numbers together, and all the variables

x^2-1x-152=0

a = 1; b = -1; c = -152;
Δ = b2-4ac
Δ = -12-4·1·(-152)
Δ = 609
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{609}}{2*1}=\frac{1-\sqrt{609}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{609}}{2*1}=\frac{1+\sqrt{609}}{2}
$