Solve the equation if X = 3: 3X² - 21/(3X) = ?

Rationale

2/3 or 0.67.

To solve the equation \(3X^2 - \frac{21}{3X}\) when \(X = 3\), we first substitute \(X\) into the equation. This results in \(3(3^2) - \frac{21}{3(3)}\), simplifying to \(27 - 2.33\), which equals \(2/3\) or \(0.67\).

A (1 1/3 or 1.33) YOUR ANSWER

This choice suggests a value greater than the correct solution. The calculation shows that the expression evaluates to \(2/3\), not allowing for the result to reach \(1 1/3\). Thus, this option is incorrect.

B (2/6 or 0.33) YOUR ANSWER

This choice underestimates the value derived from the equation. As the simplification leads to \(2/3\), which is equivalent to \(4/6\), the result of \(2/6\) does not align with the calculations performed, making this option incorrect.

C (1/3 or 0.33) YOUR ANSWER

Similar to option B, this choice is also less than the calculated result. The equation evaluates to \(2/3\) rather than \(1/3\). Therefore, this option does not represent the correct value, confirming its inaccuracy.

D (2/3 or 0.67) CORRECT

This is the correct solution derived from the calculations performed. Substituting \(X = 3\) into the equation yields a final result of \(2/3\), which matches this option perfectly.

Conclusion

The calculations confirm that substituting \(X = 3\) into the given equation leads to a result of \(2/3\) or \(0.67\). All other choices present values that do not correspond to the result of the expression, reinforcing that option D is the only valid answer.

Solve the equation if X = 3: 3X² - 21/(3X) = ?

2/3 or 0.67.

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