x+1/x=a then x4+1/x4=?
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Answered by
1
(x+1/x) =a
Square on both sides,
(x+1/x)²=a²
x²+1/x²+2=a²
x²+1/x²=a²-2
Again square on both sides,
(x²+1/x²)²=(a²-2)²
x⁴+1/x⁴+2=(a²-2)²
x⁴+1/x⁴=a⁴+4-4a-2
x⁴+1/x⁴=a⁴+4a+2
Square on both sides,
(x+1/x)²=a²
x²+1/x²+2=a²
x²+1/x²=a²-2
Again square on both sides,
(x²+1/x²)²=(a²-2)²
x⁴+1/x⁴+2=(a²-2)²
x⁴+1/x⁴=a⁴+4-4a-2
x⁴+1/x⁴=a⁴+4a+2
abhi569:
Your welcome khushi
Answered by
0
Answer:
First squaring
X2+1/x2=a2-2
Second squaring
(X2)2+1/(x2)2=(a2)2-(2)2
X4+1/x4=a4+4-4a2-2
X4+1/x4=a4+4a2+2
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