Question

For the quadratic equation x-2x
+1=0, the value of X+ 1/x is:
a)-1
b)1
c)2
d)-2​

Answer 1

Step-by-step explanation:

2 .........is the answer

Answer 2

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

$substitute \: x = 1$

$x + \frac{1}{x} \\ \\ = 1 + \frac{1}{1} \\ \\ = \frac{1 + 1}{1} \\ \\ = \frac{2}{1} \\ \\ = 2$

$so \: option\:c) \: 2 \: \: is \: the \: correct \: answer$