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

## Answer this Question

## Related Questions

- Numerical Analysis - Using the bisection method, Newton’s method, and the secant...
- Numerical Analysis - Consider the equation 8x^4 − 12x^3 + 6x^2 − x...
- Calculus - Use Newton's method with the specified initial approximation x1 to ...
- calculus - Use Newton's method to approximate the indicated root of the equation...
- Math Problem (please help) - Consider the following function. g(x) = 6x^4 −...
- Cal 1 - Use Newton's method with the specified initial approximation x1 to find ...
- Calculus Help Please!!! - Consider the following. f(x) = 8x(square root of (x &#...
- Calculus Help Please!!! - Consider the following. f(x) = 8x (square root of (x...
- calculus - Use the Euler Method with a step size of 0.2 to estimate f(3) where f...
- calculus - Use Newton's method to solve the equation sec x = 4 in the interval x...

More Related Questions