Question

Date:
Q8
if x+1/x = 13/6 then, find the value of x ² + 1/x2​

Answer 1

Answer:

Your answer is 97/36

Please see the attachment

Answer 2

Answer:

97 / 36

Step-by-step explanation:

$\implies x +\dfrac{1}{x} = \dfrac{13}{6}\\\\\text{Squaring on both sides we get,}\\\\\implies { ( x + \dfrac{1}{x} )}^2 = {(\dfrac{13}{6})}^2\\\\\implies x^2 + \dfrac{1}{x^2} + 2 \times x \times \dfrac{1}{x} = \dfrac{169}{36}\\\\\implies x^2 + \dfrac{1}{x^2} + 2 = \dfrac{169}{36}\\\\\implies x^2 + \dfrac{1}{x^2} = \dfrac{169}{36} - 2\\\\\implies x^2 + \dfrac{1}{x^2} = \dfrac{169-72}{36}\\\\\implies x^2 + \dfrac{1}{x^2} = \dfrac{97}{36}$

Hence 97/36 is the answer.