square root of x^2 -3 =7

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To remove the radical on the left-hand side of the equation, square both sides of the equation. `(sqrt(x^2-3))^2=(7)^2` Simplify the right-hand side of the equation. `x^2-3=49` Move all terms not containing `x` to the right-hand side of the equation. `x^2=52` Take the squareroot of both...

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To remove the radical on the left-hand side of the equation, square both sides of the equation.

`(sqrt(x^2-3))^2=(7)^2`

Simplify the right-hand side of the equation.

`x^2-3=49`

Move all terms not containing `x` to the right-hand side of the equation.

`x^2=52`

Take the square root of both sides of the equation to eliminate the exponent on the left-hand side.

`x=+-sqrt(52)`

Simplify the right-hand side of the equation. Reduce the radical prior to substituting in and solving the

`x=+-2 sqrt(13)`

First, substitute in the `+ ` portion of the `+-`  to find the first solution.

`x=2 sqrt(13)`

Next, substitute in the `-` portion of the `+-`  to find the second solution.

`x=-2 sqrt(13)`

The complete solution is the result of both the `+` and `-` portions of the solution.

`x=2 sqrt(13), -2 sqrt(13)`

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