根号5用二分法,精确度0.01

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/13 03:37:25

根号5用二分法,精确度0.01
根号5用二分法,精确度0.01

根号5用二分法,精确度0.01
√4<√5<√9
∴2<√5<3
2.5^2=6.25>5
∴2<√5<2.5
2.25^2=5.0625>5
∴2<√5<2.25
2.125^2=4.515625<5
∴2.125<√5<2.25
2.1875^2=4.78515625<5
∴2.1875<√5<2.25
2.21875^2=4.92285<5
∴2.21875<√5<2.25
2.234375^2=4.99243<5
∴2.234375<√5<2.25
2.2421875^2=5.0274>5
∴2.234375<√5<2.241875
|2.234375-2.241875|<0.01
取2.234375