Question
$57-58$ (a) Prove that the equation has at least one real root. (b) Use your calculator to find an interval of length 0.01 that contains a root.$$\sqrt{x-5}=\frac{1}{x+3}$$
Step 1
To do this, we can use the Intermediate Value Theorem. This theorem states that if a function is continuous on a closed interval [a, b] and k is any number between f(a) and f(b), then there exists a number c in the interval (a, b) such that f(c) = k. Show more…
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