(x方+2X+2)(3y方+2y+1)=4/3 求x,y的值(x方+2X+2)乘(3y方+2y+1)=4/3 求x,y的值

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/03 18:53:33
(x方+2X+2)(3y方+2y+1)=4/3 求x,y的值(x方+2X+2)乘(3y方+2y+1)=4/3 求x,y的值

(x方+2X+2)(3y方+2y+1)=4/3 求x,y的值(x方+2X+2)乘(3y方+2y+1)=4/3 求x,y的值
(x方+2X+2)(3y方+2y+1)=4/3 求x,y的值
(x方+2X+2)乘(3y方+2y+1)=4/3 求x,y的值

(x方+2X+2)(3y方+2y+1)=4/3 求x,y的值(x方+2X+2)乘(3y方+2y+1)=4/3 求x,y的值
x+y=z

x*x+2x+2=(x+1)(x+1)+1>=1
3y*y+2y+1=3(y*y+2y/3+1/9)+1-1/3=3(y+1/3)(y+1/3)+2/3>=2/3;
令(x+1)(x+1)=a,(y+1/3)*(y+1/3)=b
所以(x*x+2x+2)(3y*y+2y+1)=(a+1)(b+2/3)=4/3
即(a+1)(b-2/3)=0
得a=-1或b=2/2
故(y+1/3)*(y+1/3)=2/3时,此时x为任意值,等式成立。