Math, asked by raj6940, 4 months ago

if x+1/x=3. find the value of x square +1/x square and x ki 4+1/x ki power 4​

Answers

Answered by Anonymous
59

Answer:

《☆》Question -:

 \; If \; \frac {x+1}{x}=3. \; Find \; the \; value \; of x^2 +\frac {1}{x^2} \; and \; \frac{X^{4}+1}{x^4} .

《☆》Given -:

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

《☆》 To Find -:

 \Rightarrow Value \; of \; x^2 +\frac {1}{x^2} \; and \; \frac{X^{4+1}}{x^4}

《☆》Solution -:

(i)\implies x²+1/x² = (x+1/x)² - 2  \\x²+1/x²\implies 3² -2 \\ \\ x²+1/x²\implies 9 -2 \\ \\ \boxed {x²+1/x²\implies 7} \longrightarrow [1]  \\ \\ \\ (ii) \implies x⁴ + 1/x⁴ = (x²+1/x²)² -2 \\ [\because From \; eq.1] \\ \\x⁴ + 1/x⁴\implies 7² -2 \\ \\ x⁴ + 1/x⁴\implies 49 -2 \\ \\ \boxed {x⁴ + 1/x⁴\implies47}

《☆》Answer -:

 \bigstar \boxed {x²+1/x²\implies 7}

 \bigstar \boxed {x⁴ + 1/x⁴\implies47}

Similar questions