if X=√5+3 then prove that x²+1/x²=18
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Step-by-step explanation:
x=2−
3
⇒
x
1
=
2−
3
1
=2+
3
(x
2
+
x
2
1
)=(x+
x
1
)
2
−2=(2−
3
+2+
3
)
2
−2=14
(x
2
−
x
2
1
)=(x−
x
1
)(x+
x
1
)=(4×−2
3
)=−8
3
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