x^2-4761=0

Solution for x^2-4761=0 equation:

x^2-4761=0

a = 1; b = 0; c = -4761;
Δ = b2-4ac
Δ = 02-4·1·(-4761)
Δ = 19044
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{19044}=138$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-138}{2*1}=\frac{-138}{2}
=-69
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+138}{2*1}=\frac{138}{2}
=69
$