Question

x + 1/x = 3
Solve For x.​

Answer 1

Answer:

$\frac{ - 3 + \sqrt{5} }{2}$

and

$\frac{ - 3 - \sqrt{5} }{2}$

Step-by-step explanation:

x+1/x=3

$\frac{ {x }^{2} + 1}{x} = 3$

x²+1=3x

x²-3x+1=0

its in the form ax²+bx+c

x=-b±root of (b²-4ac) whole divided by 2a

x=-(-3)±root of ((-3)²-4(1)(1)) whole divided by 2(1)

x=-3±root of 9-4 whole divided by 2

x= (-3±√5)/2