Applied Calculus......
posted by Jacob on .
Use the method of bisection to find the root of the equation x^5 + 3x − 7 = 0
accurate to two decimal places.

since f(1) < 0 and f(2) > 0,start with the interval (1,2):
step left right middle f(middle)
1: 1.000 2.000 1.500 5.094
2: 1.000 1.500 1.250 0.198
3: 1.250 1.500 1.375 2.040
4: 1.250 1.375 1.312 0.832
5: 1.250 1.312 1.281 0.297
6: 1.250 1.281 1.266 0.044
7: 1.250 1.266 1.258 0.078
8: 1.258 1.266 1.262 0.017
actual root: 1.26282