(X^2)-x=336

Solution for (X^2)-x=336 equation:

(X^2)-X=336

We move all terms to the left:

(X^2)-X-(336)=0

We add all the numbers together, and all the variables

X^2-1X-336=0

a = 1; b = -1; c = -336;
Δ = b2-4ac
Δ = -12-4·1·(-336)
Δ = 1345
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{1345}}{2*1}=\frac{1-\sqrt{1345}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{1345}}{2*1}=\frac{1+\sqrt{1345}}{2}
$