The difference of a number and its reciprocal is ½ . The sum of

m.gayatri · 25-01-07, 07:53 PM

The difference of a number and its reciprocal is ½ . The sum of their squares is .
a. 9/4
b. 4/5
c. 5/3
d. 7/4

PrashanthU · 25-01-07, 08:22 PM

(x-1/x)2 = x2+1/x2-2

->x2+1/x2 = (x-1/x)2+2
= (1/2)2+2
= 1/4+2
= 9/4

25-01-07, 07:53 PM	#1 (permalink)
m.gayatri Senior Member Join Date: Jan 2007 Age: 23 Posts: 1,030 Thanks: 0 Thanked 2 Times in 2 Posts Thanks: 0 Thanked 2 Times in 2 Posts Rep Power: 12	The difference of a number and its reciprocal is ½ . The sum of The difference of a number and its reciprocal is ½ . The sum of their squares is . a. 9/4 b. 4/5 c. 5/3 d. 7/4

25-01-07, 08:22 PM	#2 (permalink)
PrashanthU Senior Member Join Date: Jan 2007 Age: 27 Posts: 103 Thanks: 0 Thanked 7 Times in 5 Posts Thanks: 0 Thanked 7 Times in 5 Posts Rep Power: 4	Re: The difference of a number and its reciprocal is ½ . The sum of (x-1/x)2 = x2+1/x2-2 ->x2+1/x2 = (x-1/x)2+2 = (1/2)2+2 = 1/4+2 = 9/4

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