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Solution of Nonlinear Equations
General Nonlinear equation Polynomial (roots of polynomial) Transcendental equation We are trying to find x when the function is equal to zero. (Zero's of function) πξπ₯ξ=0 π₯ 4 β80π₯ξ120=0 tanξπ₯ξβtanhξπ₯ξ=0
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Graphical Method Plot the function vs. the x-axis (x unknown to solve for) The intersection of the curve with the x-axis is the root (roots) Functions can also be separated into 2 functions These functions plotted on the same graph The intersection will give the root Limitations Plotting requires intensive computation Less accurate
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