F(0) = -1f(1) = 0.459697694Therefore, root lies between 0 and 1A = 0; f(a) = -1b = 1; f(b) = 0.459697694Substituting the values in the formula,X = \(\frac{bf(a)-af(b)}{f(a)-f(b)}\),we get \(x1 = \frac{-1}{-1-0.459697694}\)=0.685073357; f(x1) = -0.089299276Therefore, x1 becomes a to find the next point.\(X2 =\frac{-0.089299276-0.685073357(0.459697694)}{-0.089299276-0.459697694} \)= 0.736298997; f(x2) = -4.66039555*10-3Therefore, x2 becomes a to find the next point.\(X3 = \frac{-(-4.66039555*10^{-3})-0.736298997(0.459697694)}{(-4.66039555*10^{-3})-0.459697694}\)=0.738945355; f(x3) = -2.339261948*10-4Therefore, x3 becomes a to find the next point.\(X4 = \frac{(-2.339261948*10^{-4})-0.738945355(0.459697694)}{(-2.339261948*10^{-4})-0.459697694}\)=0.73907813; f(x4) = -1.172028721*10-5Therefore, x4 becomes a to find the next point.\(X5 = \frac{-(1.172028721*10^{-5})-0.73907813(0.459697694)}{(-1.172028721*10^{-5} )-0.459697694}\)=0.739084782Therefore, the positive root CORRECTED to 4 decimal places is 0.73908.