Solve for X: X/4 = 9/X

Rationale

X equals 6.

To solve for X in the equation X/4 = 9/X, we can cross-multiply to obtain X^2 = 36, leading to X = 6 after taking the positive square root. This value satisfies the original equation, confirming it as the correct solution.

A (6) CORRECT

This is the correct solution derived from the equation. By cross-multiplying, we find that X^2 = 36, resulting in X = 6. Plugging this back into the original equation validates its correctness, as both sides equal 1.5.

B (8) YOUR ANSWER

If we substitute X = 8 into the equation, we get 8/4 = 9/8, which simplifies to 2 = 1.125. This is incorrect, as the two sides do not equate, indicating that 8 is not a valid solution.

C (12) YOUR ANSWER

Substituting X = 12 gives us 12/4 = 9/12, which simplifies to 3 = 0.75. Again, this does not hold true, confirming that 12 cannot be the solution to the equation.

D (18) YOUR ANSWER

With X = 18, we have 18/4 = 9/18, which simplifies to 4.5 = 0.5. This is also incorrect, as the two sides of the equation are not equal, showing that 18 is not a solution.

Conclusion

The solution to the equation X/4 = 9/X is X = 6, which is verified by substituting back into the original equation. The other options—8, 12, and 18—fail to satisfy the equation, proving they are not valid solutions. Thus, the correct choice is clearly established as 6.

Solve for X: X/4 = 9/X

X equals 6.

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