1.已知x+1/x=4,則x²;+1/x²;的值是() A.12 B.1/2 C.16 D.不能確定 2.已知x=2009,y=2010,則(x+y)·x²;+y²;/x四次方-y四次方等於() 3.若x/3=y/4=z/7,則3x+y+z/y的值為()

1.已知x+1/x=4,則x²;+1/x²;的值是() A.12 B.1/2 C.16 D.不能確定 2.已知x=2009,y=2010,則(x+y)·x²;+y²;/x四次方-y四次方等於() 3.若x/3=y/4=z/7,則3x+y+z/y的值為()

1.(x + 1/x)^2 = x^2 + 2 + 1/x^2 = 16
所以答案是:14
2.原式=(x+y)(x^2 + y^2)/(x^2+y^2)(x^2-y^2)= 1/(x-y)=-1
3.由題可假設:x = 3t,y = 4t,z = 7t(滿足條件)
代入=(3*3t + 4t + 7t)/(4t)= 5