40. It is easy to check that f(x) = x² – 4x has two roots. Find these two roots using Newton's method In+1 = Xn - f(In)/f'(xn). (11) If you can find only one root, explain why? [Hint: First write the...


40. It is easy to check that f(x) = x² – 4x has two roots. Find these two roots using<br>Newton's method<br>In+1 = Xn - f(In)/f'(xn).<br>(11)<br>If you can find only one root, explain why?<br>[Hint: First write the Newton's iteration formula, then use different initial values<br>xo = 1 and then ro = -1 to see if you can get two different roots.]<br>

Extracted text: 40. It is easy to check that f(x) = x² – 4x has two roots. Find these two roots using Newton's method In+1 = Xn - f(In)/f'(xn). (11) If you can find only one root, explain why? [Hint: First write the Newton's iteration formula, then use different initial values xo = 1 and then ro = -1 to see if you can get two different roots.]

Jun 04, 2022
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