In the problem x4 + \(\frac{1}{x^4}\) = ……………..A) 1154 B)

1.	In the problem x4 + \(\frac{1}{x^4}\) = ……………..A) 1154 B) 1145 C) 1123 D) 1192
Answer» Correct option is A) 1154 Correct option is (A) 1154 \(x+\frac1x=6\) \(\Rightarrow\) \(x^2+\frac1{x^2}+2=36\) (By squaring both sides) \(\Rightarrow\) \(x^2+\frac1{x^2}=36-2=34\) \(\Rightarrow\) \((x^2+\frac1{x^2})^2=34^2\) \(\Rightarrow\) \(x^4+\frac1{x^4}+2=1156\) \(\Rightarrow\) \(x^4+\frac1{x^4}\) = 1156 - 2 = 1154

In the problem x4 + \(\frac{1}{x^4}\) = ……………..A) 1154 B) 1145 C) 1123 D) 1192

Answer»

Correct option is A) 1154

Correct option is (A) 1154

\(x+\frac1x=6\)

\(\Rightarrow\) \(x^2+\frac1{x^2}+2=36\) (By squaring both sides)

\(\Rightarrow\) \(x^2+\frac1{x^2}=36-2=34\)

\(\Rightarrow\) \((x^2+\frac1{x^2})^2=34^2\)

\(\Rightarrow\) \(x^4+\frac1{x^4}+2=1156\)

\(\Rightarrow\) \(x^4+\frac1{x^4}\) = 1156 - 2 = 1154