If x - 1/2*x = 3, find the value of x^2 + 1/x^2.
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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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