mple 29 : Ifx = 2 + V3, find the values of:1(i) x2 x2

1.	mple 29 : Ifx = 2 + V3, find the values of:1(i) x2 x2
Answer» (i)If x= 2+ √3then1/x=2-√3 (by rationaliztion) then (x+1/x)² = X²+(1/X)² +2(x)(1/X) i.e, (2+√3 +2-√3)² = x²+(1/x)²+2=4² - 2 = x² +(1/x)²i.e, 14 is the answer similarly solve for the second part but (a + b) whole square is not equal to a square + b square....and I tried but I can't solve the second part..plzz send me in hand written note....

Answer»

(i)If x= 2+ √3then1/x=2-√3 (by rationaliztion)

then (x+1/x)² = X²+(1/X)² +2(x)(1/X)

i.e,

(2+√3 +2-√3)² = x²+(1/x)²+2=4² - 2 = x² +(1/x)²i.e, 14 is the answer

similarly solve for the second part

but (a + b) whole square is not equal to a square + b square....and I tried but I can't solve the second part..plzz send me in hand written note....

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