SAT数学Problem Solving练习题(41)

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摘要:下面是小站SAT频道为大家整理了SAT数学Problem Solving练习题(41),供考生们参考,以下是详细内容。

以下是小站SAT频道为大家整理了SAT数学Problem Solving练习题(41),供考生们参考,以下是详细内容。

Question 41: What are the solutions x of the equation ax·a1/x = 1, x ≠ 0 and a ≠ 1?

(a) x = -1

(b) x = 1

(c) x1 = -1 and x2 = 1

(d) The equation does not have real solutions

(e) x = a

Answer: ax·a1/x = ax + 1/x = 1 = a0

x + 1/x = 0

(x2 + 1)/x = 0

x2 + 1 = 0. This equation does not have real solutions as x2 + 1 will always be positive.

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