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Solving Equations by Squaring: Isolate and Undo Square Roots

To solve the equation involving square roots, we first need to isolate the square root expression. For example, when given the equation where the square root of (x + 1) equals 18, we undo the square root by squaring both sides. Since the square root of 324 is 18, we set x + 1 equal to 324 and proceed to isolate x. This method effectively simplifies the process of solving quadratic equations and helps to understand the relationship between square roots and squares.

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Solving Equations by Squaring: Isolate and Undo Square Roots

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  1. Squaring to Solve an Equation

  2. Squaring to Solve an Equation In order to solve for x, you have to ISOLATE the square root expression Solve: The square root of x+1 is 18 In order to solve for x you have to UNDO the square root (i.e. square) Since the square root of 324 is 18, x+1 has to equal 324

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