X2-x=4830

Solution for X2-x=4830 equation:

X2-X=4830

We move all terms to the left:

X2-X-(4830)=0

We add all the numbers together, and all the variables

X^2-1X-4830=0

a = 1; b = -1; c = -4830;
Δ = b2-4ac
Δ = -12-4·1·(-4830)
Δ = 19321
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{19321}=139$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-139}{2*1}=\frac{-138}{2}
=-69
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+139}{2*1}=\frac{140}{2}
=70
$