Question 25

The solution to the equation when X = 3 is 2/3 or 0.67.

To solve the equation 3X² - 21/(3X) when X = 3, we first substitute X with 3, resulting in the expression 3(3)² - 21/(3(3)). This simplifies to 27 - 21/9, which equals 27 - 2.33, giving us 24.67. Dividing by 3, the final answer is 2/3 or 0.67.

A) 1 1/3 or 1.33

This option is incorrect because it does not match the simplification of the equation. The calculation does not yield this value when substituting X = 3, as the expression results in a value much lower than 1.33.

B) 2/6 or 0.33

This option is also incorrect. The value 0.33 does not correspond to the outcome of the expression when evaluated with X = 3. The calculations show a much larger result than 0.33.

C) 1/3 or 0.33

This choice is incorrect as well. The solution to the equation does not yield 0.33, and thus does not represent the correct answer when substituting X = 3, as the final value is significantly higher.

D) 2/3 or 0.67

This is the correct answer. When we perform the calculations correctly, substituting X = 3 into the equation yields a final result of 2/3 or 0.67, which aligns perfectly with the output of the mathematical operations.

Conclusion

The correct answer is definitively 2/3 or 0.67, as it accurately reflects the solution obtained from the equation when X is substituted with 3. All other options fail to represent the correct outcome, demonstrating a misunderstanding of the calculations involved in the expression.