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Applied Calculus......

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Use the method of bisection to find the root of the equation x^5 + 3x − 7 = 0
accurate to two decimal places.

  • Applied Calculus...... -

    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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