If x⁴ + 16/x⁴ = 56 , find the value of x - 2/x
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Answer:
x
4
+
x
4
1
=119
Adding 2 on both the sides,
x
4
+
x
4
1
+2=119+2
(x
2
+
x
2
1
)
2
=121⇒x
2
+
x
2
1
=11
Subtracting 2 on both sides.
x
2
+
x
2
1
−2=11−2
(x−
x
1
)
2
=9⇒x−
x
1
=±3
Hence, x−
x
1
=3.
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