Question

A NUMBER IS ONE MORE THAN TWICE ITS RECYPROCAL FIND THE NUMBER?

Answer 1

Heya !!!





Let the number be X.




Reciprocal of number X = 1/X





According to question,



2×1/X + 1 = X





2/X + 1 = X





2 + X = X²




X²-X - 2 = 0




X²-2X + X - 2 = 0



X ( X - 2) + 1 ( X - 2) = 0




(X-2) ( X +1) = 0





(X-2) = 0 OR (X+1) = 0




X = 2 OR X = -1





Hence,



Number can be -1 and 2.






★ ★ ★ HOPE IT WILL HELP YOU ★ ★ ★

Answer 2

Let the number be x,



According to the question :

$x = (2 \times \frac{1}{x} ) + 1 \\ \\ x = \frac{2}{x} + 1 \\ \\ x = \frac{2 + x}{x} \\ \\ {x}^{2} - x - 2 = 0 \\ \\ {x}^{2} - 2x + x - 2 = 0 \\ \\ x(x - 2) + (x - 2) = 0 \\ \\ (x - 2)(x + 1) = 0 \\ \\ x = 2 \: \: \: \: \: \: or \: \: x = - 1$



Required number is 2 or -1



I hope this will help you


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