If 1/x+2, 1/x+3, 1/x+5 are in ap find x, Mathematics

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if 1/x+2, 1/x+3, 1/x+5 are in AP find x

Ans 1/x+2,1/x+3, 1/x+5 are in AP find x.

1/x+3 - 1/x+2 = 1/x+5-1/x+3

=>  1/x2 +5x+6  = 2/ x2 +8x +15

=>  On solving we get x = 1

 


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