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Sum of a number and it's reciprocal is 25/12 find the number |
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Answer» X + 1/X = 25/12 X2 +1 = 25X/12 X2 -25X/12 = -1 X2 -25X/12 + (25/24)2 =-1 + (25/24)2 (X - 25/24)2 = 625/576 -1 = 49/576 = (7/24)2 x- 25/24 = + or - 7/24 X = 25/24 + or - 7/24 = 18/24 or 32/24 X = 3/4 or 4/3 4/3 + 3/4 = 16/12 + 9/12 = 25/12 |
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