Question

x=2+√3 find x²+1/X²
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Answer 1

Answer:

x=2+√3.

x²+1/x²=?.

x²+1/x²=(2+√3)²+1/(2+√3)².

=(2)²+(√3)²+2(2)(√3)+1/(2)²+(√3)²+2(2)(√3). (Because (a+b)²=a²+b²+2ab where a=2 & b=√3).

=4+3+4√3+1/4+3+4√3. (Because √ & ² will cancel).

=7+4√3+1/7+4√3.

=8+4√3/7+4√3.

I think this is your answer.