A={x|2x²+x+m=0},B={x|2x²+nx+2=0},若A∩B={1/2},求m,n
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/29 00:40:32
![A={x|2x²+x+m=0},B={x|2x²+nx+2=0},若A∩B={1/2},求m,n](/uploads/image/z/10124834-50-4.jpg?t=A%3D%7Bx%7C2x%26%23178%3B%2Bx%2Bm%3D0%7D%2CB%3D%7Bx%7C2x%26%23178%3B%2Bnx%2B2%3D0%7D%2C%E8%8B%A5A%E2%88%A9B%3D%7B1%2F2%7D%2C%E6%B1%82m%2Cn)
xJ@_e@l
{zOz hAK[RE=[[4즧$9ql3lo@s5K䰲]i0k|y/m"ÎEl]B5
W y;wyPwknHWLX[;[=ul5tuϢA0 Ok!GI/L
a!W,ײct;|
u |h
X*G-<#h }W7-7i
A={x|2x²+x+m=0},B={x|2x²+nx+2=0},若A∩B={1/2},求m,n
A={x|2x²+x+m=0},B={x|2x²+nx+2=0},若A∩B={1/2},求m,n
A={x|2x²+x+m=0},B={x|2x²+nx+2=0},若A∩B={1/2},求m,n
由题意,1/2既是方程2x*2+x+m=0的解,又是方程2x*2+nx+2=0的解,
所以,m=1,n=-5.
交集,就是联立两个方程,求共同点
由于,交集是1/2
有 2*(1/4)+1/2+M=0 ,M=-1
2*(1/4)+N/2+2=0 N=-6