1.已知x+1/x=4,则x²+1/x²的值是 ( )A.12 B.1/2 C.16 D.不能确定2.已知x=2009,y=2010,则(x+y)·x²+y²/x四次方-y四次方等于( )3.若x/3=y/4=z/7,则3x+y+z/y的值为( )

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/19 02:36:56
1.已知x+1/x=4,则x²+1/x²的值是()A.12B.1/2C.16D.不能确定2.已知x=2009,y=2010,则(x+y)·x²+y²/x四次方-

1.已知x+1/x=4,则x²+1/x²的值是 ( )A.12 B.1/2 C.16 D.不能确定2.已知x=2009,y=2010,则(x+y)·x²+y²/x四次方-y四次方等于( )3.若x/3=y/4=z/7,则3x+y+z/y的值为( )
1.已知x+1/x=4,则x²+1/x²的值是 ( )
A.12 B.1/2 C.16 D.不能确定
2.已知x=2009,y=2010,则(x+y)·x²+y²/x四次方-y四次方等于( )
3.若x/3=y/4=z/7,则3x+y+z/y的值为( )

1.已知x+1/x=4,则x²+1/x²的值是 ( )A.12 B.1/2 C.16 D.不能确定2.已知x=2009,y=2010,则(x+y)·x²+y²/x四次方-y四次方等于( )3.若x/3=y/4=z/7,则3x+y+z/y的值为( )
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.由题可假设:x = 3t,y = 4t,z = 7t(满足条件)
代入= (3*3t + 4t + 7t)/(4t) = 5