已知x^2-y^2=4xy,求(x^4+y^4)/x^2y^2的值?
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 02:53:02
![已知x^2-y^2=4xy,求(x^4+y^4)/x^2y^2的值?](/uploads/image/z/12058155-27-5.jpg?t=%E5%B7%B2%E7%9F%A5x%5E2-y%5E2%3D4xy%2C%E6%B1%82%28x%5E4%2By%5E4%29%2Fx%5E2y%5E2%E7%9A%84%E5%80%BC%3F)
已知x^2-y^2=4xy,求(x^4+y^4)/x^2y^2的值?
已知x^2-y^2=4xy,求(x^4+y^4)/x^2y^2的值?
已知x^2-y^2=4xy,求(x^4+y^4)/x^2y^2的值?
(x^2-y^2)^2=(4xy)^2打开 x^4+y^4=18x^2y^2 所以(x^4+y^4)/x^2y^2=18
x^2-y^2=4xy 两边都除以XY 则X/Y-Y/X=4 (x^4+y^4)/x^2y^2=X^2/Y^2+Y^2/X^2=(X/Y-Y/X)^2+2=4^2+2=18