Solve for x in the equation 16/x = x^2/4

To solve the equation 16/x = x^2/4, cross-multiply to get 64 = x^3, then take the cube root of both sides to find x = 4.

Answer

We want to solve the equation:

Step 1: Cross-multiply.

This means multiplying both sides of the equation by both denominators:

Step 2: Simplify.

Step 3: Solve for x.

To get rid of the cube on the right side, take the cube root of both sides:

This gives us:

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Solve for x in the equation 16/x = x^2/4

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