If x+\frac{1}{x}=6 \text { then } x^{4}+\frac{1}{x^{4}}(A) 1148(C)1154

1.	If x+\frac{1}{x}=6 \text { then } x^{4}+\frac{1}{x^{4}}(A) 1148(C)1154(B) 1150(D) 1156
Answer» Solution :- It is given that , x + 1/x = 6 ---( 1 ) Do the square of equation ( 1 ), ( x + 1/x )² = 6² x² + 1/x² + 2 = 36 x² + 1/x² = 36 - 2 x² + 1/x² = 34 --( 2 ) Again do the square of equation ( 2 ), ( x² + 1/x² )² = 34² x⁴ + 1/x⁴ + 2 = 1156 x⁴ + 1/x⁴ = 1156 - 2 = 1154option (c) is correct.

If x+\frac{1}{x}=6 \text { then } x^{4}+\frac{1}{x^{4}}(A) 1148(C)1154(B) 1150(D) 1156

Answer»

Solution :- It is given that ,

x + 1/x = 6 ---( 1 )

Do the square of equation ( 1 ),

( x + 1/x )² = 6²

x² + 1/x² + 2 = 36

x² + 1/x² = 36 - 2

x² + 1/x² = 34 --( 2 )

Again do the square of equation ( 2 ),

( x² + 1/x² )² = 34²

x⁴ + 1/x⁴ + 2 = 1156

x⁴ + 1/x⁴ = 1156 - 2

= 1154option (c) is correct.