if x² - 8x + 1 =0 , find x² + 1/x²
Answers
Answered by
1
Answer:
x
2
−
8
x
−
1
=
0
To Find:
x
2
+
1
x
2
Solution:
x
2
−
8
x
−
1
=
0
⇒
x
2
=
1
+
8
x
⇒
∴
1
x
2
=
1
1
+
8
x
⇒
∴
x
2
+
1
x
2
=
(
1
+
8
x
)
+
1
1
+
8
x
⇒
x
2
+
1
x
2
=
(
1
+
8
x
)
(
1
+
8
x
)
+
1
1
+
8
x
=
(
1
+
8
x
)
2
+
1
1
+
8
x
=
1
+
16
x
+
64
x
2
+
1
1
+
8
x
=
64
x
2
+
16
x
+
2
1
+
8
x
So,
x
2
+
1
x
2
=
64
x
2
+
16
x
+
2
1
+
8
x
Answered by
1
Answer:
refer to the attachment
Attachments:
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