If x+1/X=√2 then find the value of x^23+x^19+x^16+4
Answers
Answered by
2
x=1+
2
now
(x−(
x
1
))
3
=(1+
2
−(
1+
2
1
))
3
=[1+
2
−(
2
+1
1
)×(
2
−1
2
−1
)]
3
=[1+
2
−(
2
−1)]
3
=(1+
2
−
2
+1)
3
=2
3
=8
Answered by
1
Step-by-step explanation:
x=1+
2
now
(x−(
x
1
))
3
=(1+
2
−(
1+
2
1
))
3
=[1+
2
−(
2
+1
1
)×(
2
−1
2
−1
)]
3
=[1+
2
−(
2
−1)]
3
=(1+
2
−
2
+1)
3
=2
3
=8
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