已知4x^2+y^2-4x+10y+26=0,求6x-1/5y的算术平方根.
来源:学生作业帮助网 编辑:六六作业网 时间:2025/01/12 06:35:00
已知4x^2+y^2-4x+10y+26=0,求6x-1/5y的算术平方根.已知4x^2+y^2-4x+10y+26=0,求6x-1/5y的算术平方根.已知4x^2+y^2-4x+10y+26=0,求
已知4x^2+y^2-4x+10y+26=0,求6x-1/5y的算术平方根.
已知4x^2+y^2-4x+10y+26=0,求6x-1/5y的算术平方根.
已知4x^2+y^2-4x+10y+26=0,求6x-1/5y的算术平方根.
4x²+y²-4x+10y+26=0
∵26=1+25
∴4x²+y²-4x+10y+1+25=0
∴(4x²-4x+1)+(y²+10y+25)=0
∴(2x-1)²+(y+5)²=0
∵(2x-1)²≥0,(y+5)²≥0
∴2x-1=0,y+5=0
∴x=0.5,y=-5
∴6x-1/5y=3+1=4
∴6x-1/5y的算术平方根=2
4x²+y²-4x+10y+26=0
(4x²-4x+1)+(y²+10y+25)=0
∴(2x-1)²+(y+5)²=0
∵(2x-1)²≥0,(y+5)²≥0
∴2x-1=0,y+5=0
∴x=0.5,y=-5
∴6x-1/5y=3+1=4
∴6x-1/5y的算术平方根=2
还有可能是:6x-1/5y=3+1/25=76/25
∴6x-1/5y的算术平方根=76/25开方
把原式配方,利用完全平方的非负性求出XY,代入求解,得2
不知道
已知x+y=4,x^2+y^2=10,求(x-y)^2
已知:4x^2+y^2-4x-6y+10=0,求y/x-x/y的值
已知2x-y=10,求[(x²+y²)-(x-y)²+2y(x-y)]/4y已知2x-y=10,求[(x²+y²)-(x-y)²+2y(x-y)]/4y 就是已知2x-y=10,求[(x²+y²)-(x-y)²+2y(x-y)]/4y /4y就是除以4y
已知2y-x=-3,求[4y(2x-y)-2x(2x-y)]/(2x-y
已知x/y=2,求2x(x+y)-y(x+y)/4x²-4xy+y²
已知x²-y²=10,求[(x+y)³-2y(x+y)²-4(x+y)]÷(x+y)的值
已知x²-y²=10,求[(x+y)的三次方-2y(x+y)²-4(x+y)]÷(x+y)的值
已知x的平方-y的平方=10求【(x+y)的立方-2y(x+y)的平方-4(x+y)】/(x+y)
已知x*x+4x+y*y-2y+5=0,则x*x+y*y=?
已知2x-y=10,求式子[(x^2+y^2)-(x-y)^2+2y(x-y)]/4y (4xy-2y²)/4y是怎么变成=2y(2x-y)÷4y
已知x*x-4xy+4y*y=0 求[2x(x+y)-y(x+y)]/(4x*x-4xy+y*y)的值?
已知:【(x²+y²)-(x-y)²+2y(x-y)】/4y=1,求4x/4x²-y²-1/2x+y
已知x-y=1,求[(x+2y)^2+(2x+y)(x-4y)-3(x+y)(x-y)]除以y的值大神们帮帮忙
已知x-y=1,求[(x+2y)²+(2x+y)(x-4y)-3(x+y)(x-y)]÷y的值
初二数学计算题 已知2x-y=10,求((x^2+y^2)-(x-y)^2+2y(x-y))/4y
已知2x-y=10 求代数式[(x∧2+y∧2)-(x-y)∧2+2y(x-y)]÷4y的值
化简求值:已知2x-y=10求[(x^2+y^2)-(x-y)^2+2y(x-y)]/4y的值
已知2x-y=10,求式子[(x^2+y^2)-(x-y)^2+2y(x-y)]/4y