x^2-4976=0

Solution for x^2-4976=0 equation:

x^2-4976=0

a = 1; b = 0; c = -4976;
Δ = b2-4ac
Δ = 02-4·1·(-4976)
Δ = 19904
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{19904}=\sqrt{64*311}=\sqrt{64}*\sqrt{311}=8\sqrt{311}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{311}}{2*1}=\frac{0-8\sqrt{311}}{2}
=-\frac{8\sqrt{311}}{2}
=-4\sqrt{311}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{311}}{2*1}=\frac{0+8\sqrt{311}}{2}
=\frac{8\sqrt{311}}{2}
=4\sqrt{311}
$