x^2=3^10

Solution for x^2=3^10 equation:

x^2=3^10

We move all terms to the left:

x^2-(3^10)=0

We add all the numbers together, and all the variables

x^2-59049=0

a = 1; b = 0; c = -59049;
Δ = b2-4ac
Δ = 02-4·1·(-59049)
Δ = 236196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{236196}=486$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-486}{2*1}=\frac{-486}{2}
=-243
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+486}{2*1}=\frac{486}{2}
=243
$