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201-Lect 2 - Objectives MECH201 Understanding what roots...

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1 Week 2 MECH201 Roots of Equations Chapter 5-8 Week 2 Objectives Understanding what roots problems are and where they occur in engineering and science Knowing how to determine a root graphically Knowing how to solve a roots problem using bracketing methods Knowing how to solve a roots problem with open methods Week 2 What are roots? • The values that make equation equal to zero. ( zeros of equations) • Eg. are the roots of equation a ac b b x 2 4 2 ± = ( ) 0 2 = + + = c bx ax x f Week 2 Solution Methods Some equations have analytical solutions But many equations can not be solved directly or analytically One method is the graphical method to plot the function and determine where it crosses the x- axis, the point of crossing is the root Although the graphical methods are useful, it is limited because of their lack of precision

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