Explanation The given expression is x 2 − 3 x . Since the above radical represents a real number the expression under the radical is greater than or equal to zero. Solve the inequality x 2 − 4 x ≥ 0 as follows. Factor the above inequality as follows. x ( x − 3 ) ≥ 0 Setting each factors equal to zero the critical values are found as follows. ( x − 3 ) = 0 implies x = 3 and x = 0 The critical values are x = 3 and x = 0 . Now determine the sign of the given function for each of the intervals x < 0 , 0 < x < 3 and x > 3 . The sign of the function for corresponding intervals are tabulated as follows

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Chapter 17.3, Problem 32E

To determine

The value of x for which the given radical represents the real number.

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Chapter 17.3, Problem 31E

Chapter 17.3, Problem 33E

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Chapter 17 Solutions

Basic Technical Mathematics

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