Q77 of 134 Page 4


The sum of a number and its reciprocal ishttps://static.philoid.co/ncertusercontent/solutions/user_files/63094/15042/images/extra-4_files/Image1276.gif , findthe number(s).


Let the number is x. Then its reciprocal is .
3x 2 + 3 = 10x
3x 2 - 10x + 3 = 0
3x 2 - 9x - x + 3 = 0
3x(x - 3) - (x - 3) = 0
(x - 3)(3x - 1) = 0
∴ The numbers are 3 and .
Checking :

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