Math, asked by Anonymous, 1 year ago

three consecutive positive integers are such that the sum of the square of the first and the product of the other two is 46 find the integers

Answers

Answered by vikashkumar620
42
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Answered by Anonymous
11

Assume 3 positive integers p, p + 1 and p + 2

★Situation

p² + (p + 1)(p + 2) = 46

2p² + 3p + 2 - 46 = 0

2p² + 3p - 44 = 0

2p² - 8p + 11p - 44 = 0

2p(p - 4) + 11(p - 4) = 0

(2p + 11)(p - 4) = 0

p = 4

★Therefore integers are 4,5 and 6

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