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1 added to the product of two consecutive even numbers gives 289. What are the numbers? |
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Answer» Let the two consecutive even numbers be x, x + 2 x, x + 2 x(x + 2) + 1 = 289 x2 + 2x = 288 x2 + 2x – 288 = 0 x2 + 2x = 288 (x+1)2 = 288 + 1 (x+1)2 = 289 x + 1 = ± 17 x = 16, – 18 The numbers are 16, 18 |
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