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Question

The sum of three numbers in AP is 3 and their product is -35. find the numbers.

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Solution

Let (x-d), x, (x+d) be in AP
Then x-d+x+x+d = 3
x = 1
(x-d) x(x+d) = - 35
(1-d)1(1+d) = - 35
1 - d.d = -35
d = 6
(1-6), 1, (1+6)
-5, 1, 7


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