Posted by **Jacob** on Monday, February 4, 2013 at 2:36pm.

Use the method of bisection to find the root of the equation x^5 + 3x − 7 = 0

accurate to two decimal places.

- Applied Calculus...... -
**Steve**, Monday, February 4, 2013 at 2:50pm
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

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