1.

X+1/x =3 then x2+1/x2 is equal to

Answer»

Answer:

x² + 1/x² = 7

Step-by-step EXPLANATION:

Given that :

  • X + 1/x = 3

To FIND:

  • x² + 1/x²

Solution:

\implies \tt x + \frac{1}{x} = 3 \\ \\ \bf \underline{ On \: squaring \: both \: sides :} \\ \\ \implies \tt \left( x + \frac{1}{x} \right)^{2} = (3) {}^{2} \\ \\ \implies \tt {x}^{2} + \frac{1}{ {x}^{2} } + 2 \: . x\: . \frac{1}{x} = 9 \\ \\ \implies \tt {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 9 \\ \\ \implies \tt {x}^{2} + \frac{1}{ {x}^{2} } = 9 - 2 \\ \\ \boxed{ \red{ \bf \therefore \: {x}^{2} + \frac{1}{ {x}^{2} } = 7}}

HENCE, the answer is 7.


Discussion

No Comment Found

Related InterviewSolutions