Question

X+1/x=3. Xnot0 find the roots

Answer 1

ANSWER:-❤❤⤵️⤵️

X+1/X=3

X+1=3X

1=3X-X

2X=1

X=1/2

HOPE IT HELPS YOU✔✔✌✌

Answer 2

$x + \frac{1}{x} = 3 \\ taking \: lcm \\ \frac{ {x}^{2} + 1 }{x} = 3 \\ {x}^{2} + 1 = 3x \\ {x}^{2} - 3x + 1 = 0$

$by \: quadratic \: formula \\ a = 1 \: \: \: b = - 3 \: \: c = 1$

Discriminant = b^2 -4ac

=9-4 =5

So the roots

$x = \frac{ - b + - \sqrt{d} }{2a} \\ putting \: values \\ x = \frac{ - 3 + \sqrt{5} }{2} and \frac{ - 3 - \sqrt{5} }{2}$