Find two consecutive odd integers whose product is 195.
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☯ Let the smaller odd integer be x, then the other consecutive integer is x + 2.
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- According to given, x (x + 2) = 195
➻ x² + 2x - 195 = 0
➻ (x - 13) (x + 15) = 0
➻ x - 13 = 0 or x + 15 = 0
➻ x = 13 or x = -15.
Where,
- x = 13, x + 2 = 15
When,
- x = -15, x + 2 = -13
❥ Therefore,
- Hence, the required integers are 13, 15 or -15, -13.
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Answer:
Fit the two constructive add numbers be x and x+2
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