x2=9784

Solution for x2=9784 equation:

x2=9784

We move all terms to the left:

x2-(9784)=0

We add all the numbers together, and all the variables

x^2-9784=0

a = 1; b = 0; c = -9784;
Δ = b2-4ac
Δ = 02-4·1·(-9784)
Δ = 39136
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:

$\sqrt{\Delta}=\sqrt{39136}=\sqrt{16*2446}=\sqrt{16}*\sqrt{2446}=4\sqrt{2446}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{2446}}{2*1}=\frac{0-4\sqrt{2446}}{2}
=-\frac{4\sqrt{2446}}{2}
=-2\sqrt{2446}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{2446}}{2*1}=\frac{0+4\sqrt{2446}}{2}
=\frac{4\sqrt{2446}}{2}
=2\sqrt{2446}
$