In the year 1225, Leonardo of Pisa studied the equation f(x)=x3+2x2+10x–20=0 and he got the root x=1.368808107. Nobody knows by what method Leonardo used to find this value, but it was a remarkable result for his time. Assume that you wish to repeat Leonardo's calculation using the Fixed-Point Iteration Method (FPIM) and a starting estimate of x0=1. How many iterations would it take to at least get an answer close to the value of Leonardo’s?

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