What is the value of x²-3x when x = 5?

Rationale

When x = 5, the value of x² - 3x is 10.

Substituting x with 5 in the expression x² - 3x yields: 5² - 3(5) = 25 - 15 = 10. This calculation demonstrates how to evaluate a quadratic expression by simply substituting the given value of x.

A (2) YOUR ANSWER

If we evaluate x² - 3x at x = 5, we find 5² - 3(5) = 25 - 15 = 10, not 2. The value of 2 does not result from any calculations involving the given expression, indicating a misunderstanding of the arithmetic involved.

B (5) YOUR ANSWER

Similarly, substituting x = 5 into the expression yields 10, not 5. The value of 5 does not satisfy the equation x² - 3x when x is substituted with 5, showing that this choice is incorrect.

D (15) YOUR ANSWER

Upon substituting x = 5, we find that x² - 3x equals 10, not 15. The calculation indicates a significant difference, as 15 would imply that either the square or the linear term was miscalculated, which is not the case here.

Conclusion

The correct evaluation of the expression x² - 3x when x = 5 results in 10. By correctly performing the arithmetic, we see that the other options (2, 5, and 15) do not reflect the true outcome of the calculation. Understanding how to substitute values into algebraic expressions is crucial for accurate problem-solving in mathematics.

What is the value of x²-3x when x = 5?

When x = 5, the value of x² - 3x is 10.

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