Question

If x+1/x =3,find the value of x²+1/x² a) 7 b) 9 c) 11 d) 13​

Answer 1

Answer:1x+x=3

=(1x+x)2=(3)2  

=1x2+x2+2=9

=1x2+x2=7

Step-by-step explanation:

Answer 2

Answer:

7

Step-by-step explanation:

$x + \frac{1}{x} = 3$

squaring both sides

${(x + \frac{1}{x}) }^{2} = {3}^{2} \\ \\ {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} \\ \\ {x}^{2} + (2 \times x \times \frac{1}{x} ) + \frac{1}{ {x}^{2} } = 9 \\ \\ {x}^{2} + 2 + \frac{1}{ {x}^{2} } = 9 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 9 - 2 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 7$