Question

4 2. If the sum of a number and its 1 reciprocal is 2 what will be 12 the number? (A) 12 (B) Wo Alco C (C) olor (D) 6​

Answer 1

Step-by-step explanation:

$\\ let \: number \: = x \\ its \: reciprocal = \frac{1}{x} \\ \\ according \: to \: question \\ x + \frac{1}{x} = 2 \\ \frac{ {x}^{2} + 1}{x} = 2 \\ {x}^{2} + 1 = 2x \\ {x}^{2} - 2x + 1 = 0 \\ {x}^{2} - (1 + 1)x + 1 = 0 \\ {x}^{2} - x - x + 1 = 0 \\ {x}(x - 1) - 1(x - 1) = 0 \\ (x - 1)(x - 1) = 0 \\ \\ x = 1$