Question

x+1/x=4 find the value of x^2 +1/x^2​

Answer 1

Answer:

x + 1/ x = 4

x + 1 = 4x

1 = 4x - x

1 = 3x

1/3 = X

putting value of X = 1/3 in eq.

x^2 + 1/x^2

(1/3)^2 + 1/ (1/3)^2

(1/9) + 9 /1

1/9 + 9/1×9/9

1/9 + 81/9

81 + 1/9

82/9

Answer 2

Answer:

SQUARING BOTH THE SITES ,

$(x + 1 \div x {)}^{2} = {4 }^{2} \\ or \: {x}^{2} + (1 \div {x}^{2} ) + 2 = 16 \\ or \: {x}^{2} + (1 \div {x}^{2} ) = 14$