X2+x=6171

Solution for X2+x=6171 equation:

X2+X=6171

We move all terms to the left:

X2+X-(6171)=0

We add all the numbers together, and all the variables

X^2+X-6171=0

a = 1; b = 1; c = -6171;
Δ = b2-4ac
Δ = 12-4·1·(-6171)
Δ = 24685
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{24685}}{2*1}=\frac{-1-\sqrt{24685}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{24685}}{2*1}=\frac{-1+\sqrt{24685}}{2}
$