HW2_1 handwork: The equation x³ + 2x² - 10x = 6 has three real roots. Find the largest root that lies in the interval [2.5, 3] using a) bisection method, and b) false position method. For both cases use the es = 0.5% (2 sig fig accuracy). Present your results in tabular forms (shown below, add rows as needed). Also show your calculations for first two iterations below the respective tables. (a) Bisection: xl 2.5 f(xl) (b) False position: f(xl) xl 2.5 xu 3 xu 3 f(xu) f(xu) xm xr ea (%) ea (%) f(xm) f(xr)

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A: This problem is related to the integration. By looking into this problem we can see first of all we…

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A: a. 7(x-5)2+10=3537x-35 2+10=35314x-70+10=35314x-60=35314x=353+6014x=413x=41314=592x=592=2912

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A: The equation has two real roots which are 2 and -7

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A:

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A: The best way to locate the number and nature of real roots will be to plot the equation.

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A: According to guidelines we can solve only first three subparts, please repost remaining subparts.

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A: Given that:To find: The exact form for x.Formula used:

Q: Operation 3: Change the second equation by adding to it (-1/2) times the first equation. {x-6y=4…

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A: Page 1:

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A: Given,