x^2+1/x^2 if x=√3+√2/√3-√2
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Answer:
x2+1x2
(x2+1x2)=(x+1x)2-2 ----(1)
We first find out x+1x
x+1x=(7+43)+1(7+43)
= (7+43)2+1(7+43)
= 49+48+563+1(7+43)
= 98+563(7+43)
= 14(7+43)(7+43)
= 14
substitutingin (1)
(x2+1x)2=(x+1x)2-2
= 196 - 2
= 194
∴ (x2+1x2) = 194
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