SQRT(x^3)=SQRT(x^2)

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Solution for SQRT(x^3)=SQRT(x^2) equation:


Simplifying
SQRT(x3) = SQRT(x2)

Multiply QRST * x3
x3QRST = SQRT(x2)

Multiply QRST * x2
x3QRST = x2QRST

Solving
x3QRST = x2QRST

Solving for variable 'x'.

Reorder the terms:
-1x2QRST + x3QRST = x2QRST + -1x2QRST

Combine like terms: x2QRST + -1x2QRST = 0
-1x2QRST + x3QRST = 0

Factor out the Greatest Common Factor (GCF), 'x2QRST'.
x2QRST(-1 + x) = 0

Subproblem 1

Set the factor 'x2QRST' equal to zero and attempt to solve: Simplifying x2QRST = 0 Solving x2QRST = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2QRST = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1

Solution

x = {1}

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