1.

Sum of a number and it's reciprocal is 25/12 find the number

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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