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Letermine the real root of f(x)= - 8x + 56x4x-7 a) Grophically to determine the root to b) using bsection &a=2%. Employ initi

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Problem in this then comment below.. i will help you..

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please thumbs up for this solution..thanks..

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50 (0.354, 0) (7, 0) 5 (-0.354, 0) --50

Sso by grraphical , root is -0.354 , 0.354 , 7 ...

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b) ..bisection..

Let f(x) = - 8x3 + 56x2 + x - 7 1st iteration : Here f(3) = 284 > 0 and f(8) = -511 < 0 :: Now, Root lies between 3 and 8 3 +

4th iteration : Here f(6.75) = 90.875 > 0 and f(7.375) = - 162.7969 < 0 :: Now, Root lies between 6.75 and 7.375 6.75 + 7.375

here , error in x5 and x4 is less than 2% ....

C) ...false position..

Let f(x) = - 8x3 + 56x2 + x - 7 1iteration : Here f(3) = 284 > 0 and f(8) = -511 < 0 :: Now, Root lies between Xo = 3 and x13rd iteration : Here f(6.2042) = 244.267 > 0 and f(8) = -511 < 0 .:: Now, Root lies between Xo = 6.2042 and x1 = 8 X₂ - Xo X4

So Ea for x4 and x5 is less than 2.5% ...

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