Question

1 5. If x +1/x =3 , Then value of x2 +1/x² a. 7 b. 8 C.-7. d.-8​

Answer 1

Answer:

the first one was the one with answers

Answer 2

Answer:

The value of $(x^2+\frac{1}{x^2})$ is 7.

Step-by-step explanation:

Given that

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

We have one algebraic identity for two numbers $a$ and $b$, given by

$(a+b)^2=a^2+2ab+b^2$

Similarly, we can expand the expression $(x+\frac{1}{x}) ^2$ as,

$\implies (x+\frac{1}{x}) ^2=x^2+2\times x\times \frac{1}{x}+\frac{1}{x^2}\\\\\implies x^2+\frac{1}{x^2}= (x+\frac{1}{x}) ^2-2$

Using the value of $(x+\frac{1}{x})$ , we have

$\implies x^2+\frac{1}{x^2} = 3^2-2=9-2 =7$

So the first option (a) is the right answer.