if x2 + 1/x2 = 27 find the value of x-1/x
Answers
Answered by
0
Answer:
We have,
(x−
x
1
)
2
=x
2
−2×x×
x
1
+
x
2
1
⇒(x−
x
1
)
2
=x
2
−2+
x
2
1
⇒(x−
x
1
)
2
=x
2
+
x
2
1
−2
⇒(x−
x
1
)
2
=27−2[∵x
2
+
x
2
1
=27 given]
⇒(x−
x
1
)
2
=25⇒(x−
x
1
)
2
⇒x−
x
1
=±5
Hope it helped??.
Answered by
2
Answer:x²+1/x² = 27
(x)²+(1/x)²+2(x)(1/x) = 29
using formula ,
a²+b²+2ab = (a+b)²
(x+1/x)² = 29
x+1/x = √29
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