Question

find the roots of the equation x+1/x=3,x is not equal to 0​

Answer 1

x+1/x=3

x^2 +1=3x

x ^2−3x+1=0

x= −b± root b^2 −4ac

Here a=1,b=−3,c=1

x= 3± root (−3)^2 - 4×1×1

2×1

x= 3± root 9−4

2

x=3± root 5

2

Hence the roots are x= 3+ root5

2

or x= 3−root5

2