若0.00000526的立方根=0.01739,x的立方根=17.39,-5.26的立方根是y,求x和y的值

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/06 03:01:03

若0.00000526的立方根=0.01739,x的立方根=17.39,-5.26的立方根是y,求x和y的值
若0.00000526的立方根=0.01739,x的立方根=17.39,-5.26的立方根是y,求x和y的值

若0.00000526的立方根=0.01739,x的立方根=17.39,-5.26的立方根是y,求x和y的值
因为:0.00000526^(1/3)=0.01739
所以:
1000×[0.00000526^(1/3)]=1000×0.01739
[(1000^3)×0.00000526]^(1/3)=17.39
260^(1/3)=17.39
又已知:x^(1/3)=17.39
所以:x=260
因为:0.00000526^(1/3)=0.01739
所以:
(-1000000)^(1/3)×[0.00000526^(1/3)]=[(-1000000)^(1/3)]×0.01739
(5.26)^(1/3)=-1.739
260^(1/3)=17.39
又已知:(-5.26)^(1/3)=y
所以:y=-1.739