if x - 1 / x = 3 / 4 , find ( x square + 1 / x square ) = ?
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Answer:
x+
x
1
)
2
=x
2
+
x
2
1
+2×x×
x
1
⇒(3)
2
=x
2
+
x
2
1
+2
⇒9=x
2
+
x
2
1
+2
⇒x
2
+
x
2
1
+2=9
⇒x
2
+
x
2
1
=9−2=7
∴x
2
+
x
2
1
=7
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