a) Solve X4+12X3−13=0, correct to 4 significant figures by an algebraic method of successive approximations   b) The critical speeds of oscillation, λ, of a loaded beam are given by the equation:  λ3 − 3.250λ2 + λ − 0.063 = 0  Determine the value of λ which is approximately equal to 3.0 by Newton’s method, correct to 4 decimal places

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