if x= (2+√3), find the value of (x²+1/x²)
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Adityaguptacool90:
If x = √5+√3/√5-√3 and y = √5-√3/√5+√3 , find the value of (x²+y²)
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Hey mate here is my answer p,ease mark me as brainlist
if x= 2+sqrt3
then
1/x=2-sqrt3 (by rationaliztion)
then (x+1/x)^2 = X^2+(1/X)^2 +2*x*(1/X)
that is (2+sqrt3 +2-sqrt3)^2=x^2 +(1/x)^2+2
4^2 -2=x^2+(1/x)^2
i.e, 14 is the answer
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