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Solve it...By RegulA Falsi Method....✌☺
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➡ f(x)=x3−x−1=0 has only one real root, which is on the intervall [1,2].
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➡f(1)=−1<0 and f(2)=5>0 so f(1)⋅f(2)<0
➡We suppose that there are two roots, a and b. Then we have that f(a)=f(b)=0.
The function f is continuous on [a,b] and differentiable on (a,b).
➡So, from Rolle's Theorem there is a c∈(a,b) such that f′(c)=0⇒3c2−1=0.
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