Question

X squ + 1/x squ = 7 then find x +1/x

Answer 1

Answer:

your answer attached in the photo

Answer 2

Answer:

Given:

• $\left(x^2 + \dfrac{1}{x^2} \right) = 7$
• $\left( x + \dfrac{1}{x} \right) = ?$

Solution:

$\implies x^2 + \dfrac{1}{x^2} = 7$

$\implies x^2 + \dfrac{1}{x^2} = 9-2$

$\implies x^2 + \dfrac{1}{x^2} + 2 = 9$

$\implies \left( x + \dfrac{1}{x} \right)^2 = 9$

$\boxed{\implies{\boxed{ \left(x+\dfrac{1}{x}\right)= \pm 3}}}$