Question

Determine whether the given values are solutions of the given equation or not
x+1/x=13/6, x=5/6 , x=4/3

Answer 1

GIVEN :-

• x + 1/x = 13/6 , x = 5/6 , x = 4/3

TO PROVE :-

• The given values are solution of the given equation or not.

SOLUTION :-

Case 1 :-

⇒ x + 1/x = 13/6

⇒ 5/6 + 1 ÷ 5/6 = 13/6

⇒ 5/6 + 6/5 = 13/6

⇒ (25 + 36)/30 = 13/6

⇒ 61/30 ≠ 13/6

L.H.S ≠ R.H.S

HENCE x = 5/6 is not a solution for the given equation.

case 2 :-

⇒ x + 1/x = 13/6

⇒ 4/3 + 1 ÷ 4/3 = 13/6

⇒ 4/3 + 3/4 = 13/6

⇒ (16 + 9)/12 = 13/6

⇒ 25/12 ≠ 13/6

L.H.S ≠ R.H.S

Hence x = 4/3 is not a solution for the given equation.

Answer 2

Given :-

• Given :- x+1/x=13/6, x=5/6 , x=4/3

To Find :-

• The given values are solutions of the given equation or not .

Solution :-

• Condition (1)

Given that, x + 1 / x = 13/6

• Put x = 5/6 .

=> x + 1 / x = 13/6

=> 5/6 + 1/ 5/6 = 13/6

=> 5/6 + 6/5 = 13/6

=> 25 + 36 / 30 = 13/6

=> 61/30 ≠ 13/6

LHS ≠ RHS .

Thus, x = 5/6 is not a solution for the given equation.

• Condition (2)

Given that, x + 1/x = 13/6

• Put x = 4/3 .

=> 4/3 + 1/ 4/3 = 13/6

=> 4/3 + 3/4 = 13/6

=> 16 + 9 / 12 = 13/6

=> 25/12 ≠ 13/6

LHS ≠ RHS .

Thus, x = 4/3 is not a solution for the given equation.