已知a²+b²-6ab=0,则(a+b)²/(a-b)²的值等于
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/29 04:43:02
![已知a²+b²-6ab=0,则(a+b)²/(a-b)²的值等于](/uploads/image/z/940531-67-1.jpg?t=%E5%B7%B2%E7%9F%A5a%26%23178%3B%2Bb%26%23178%3B-6ab%3D0%2C%E5%88%99%EF%BC%88a%2Bb%EF%BC%89%26%23178%3B%2F%EF%BC%88a-b%EF%BC%89%26%23178%3B%E7%9A%84%E5%80%BC%E7%AD%89%E4%BA%8E)
x){}KՔ
- Ybӎt$j' uZ6yɮ>"}j_`gCua5HOMgVF@&I
O{7h -фȀD@ҡ
at,%n}F6yvвsL3N3N`S3B
#]$U`U0@HAM-l
b
已知a²+b²-6ab=0,则(a+b)²/(a-b)²的值等于
已知a²+b²-6ab=0,则(a+b)²/(a-b)²的值等于
已知a²+b²-6ab=0,则(a+b)²/(a-b)²的值等于
a²+b²-6ab=0
可得:
a²+b²-2ab=4ab 即:(a-b)²=4ab
a²+b²+2ab=8ab 即:(a+b)²=8ab
所以有:
(a+b)²/(a-b)²
=8ab/4ab
=2
2
2
a^2+b^2-2ab-4ab=0
(a-b)^2=4ab
a^2+b^2+2ab-8ab=0
(a+b)^2=8ab
(a+b)^2/(a-b)^2=4ab/8ab=4/8=1/2