Question
If a positive number is decreased by 5, then it becomes
equal to the 24 times of the reciprocal of the original number. What is the original number?Solution
Let the positive number be x. x – 5 = 24/x x2 – 5x – 24 = 0 x2 – 8x + 3x – 24 = 0 x(x – 8) + 3(x – 24) = 0 (x + 3)(x – 8) = 0 x = -3, 8 x = 8
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