**Chapter 2 Solutions of Equations in
One Variable**

** **

Suppose is a continuous function defined on the interval , with and of opposite sign. By the Intermediate Value Theorem, there exists in with . Although the procedure will work for the case when and have opposite signs and there is more then one root in the interval .

If , set ,

Otherwise, set ,

Then has a zero in the interval

References:

【1】
R. L. Burden and J. D. Faires, *Numerical Analysis*, PWS,