Mathematics, 02.03.2020 23:17 amandanunnery33
EXAMPLE 10 Show that there is a root of the equation 2x3 − 4x2 + 3x − 2 = 0 between 1 and 2. SOLUTION Let f(x) = 2x3 − 4x2 + 3x − 2 = 0. We are looking for a solution of the given equation, that is, a number c between 1 and 2 such that f(c) = . Therefore we take a = , b = , and N = in the Intermediate Value Theorem. We have
Answers: 1
such that 
. Another finding is that ![c = a + \frac{b-a}{f(b)-f(a)}\cdot[f(c)-f(a)]](/tpl/images/0531/0485/b2abe.png)
![c = 1 + \frac{2-1}{4-(-1)}\cdot[0-(-1)] \\c = 1.2](/tpl/images/0531/0485/2223a.png)
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EXAMPLE 10 Show that there is a root of the equation 2x3 − 4x2 + 3x − 2 = 0 between 1 and 2. SOLUTIO...
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