V3।46. यदि ।तथा ।' = 5, तब (।।।) काम

1.	V3।46. यदि ।तथा ।' = 5, तब (।।।) कामान, V3) तथा
Answer» 14 x = root(3) + 1/ root(3) - 1x = (root(3) + 1)(root(3) + 1)/ (root(3) - 1)(root(3) + 1) = (3 + 1 + 2root(3))/ (3 - 1) = (4 + 2root(3))/2 = 2 + root(3) y = root(3) - 1/ root(3) + 1y = (root(3) - 1)(root(3) - 1)/ (root(3) + 1)(root(3) - 1) = (3 + 1 - 2root(3))/ (3 - 1) = (4 - 2root(3))/2 = 2 - root(3) Therefore,Value of x^2 + y^2= (2 + root(3))^2 + (2 - root(3))^2= 4 + 3 + 4root(3) + 4 + 3 - 4root(3)= 7 + 7 = 14

V3।46. यदि ।तथा ।' = 5, तब (।।।) कामान, V3) तथा

Answer»

x = root(3) + 1/ root(3) - 1x = (root(3) + 1)(root(3) + 1)/ (root(3) - 1)(root(3) + 1) = (3 + 1 + 2root(3))/ (3 - 1) = (4 + 2root(3))/2 = 2 + root(3)

y = root(3) - 1/ root(3) + 1y = (root(3) - 1)(root(3) - 1)/ (root(3) + 1)(root(3) - 1) = (3 + 1 - 2root(3))/ (3 - 1) = (4 - 2root(3))/2 = 2 - root(3)

Therefore,Value of x^2 + y^2= (2 + root(3))^2 + (2 - root(3))^2= 4 + 3 + 4root(3) + 4 + 3 - 4root(3)= 7 + 7 = 14