CHAPTER 3 Roots of Equations 43 Exercise 3.5 f(x) = 443 Determine the real root of: 25-814 + 44x³-91x²+85x-26 (1) Graphically (2) (3) f(x)=-26+85x-91x2 + 44x³-8x4 +x5 Using bisection to locate the root to &s=10%. Employ initial guesses of x = 0.5 and x₁ = 1.0. Perform the exact computation as in (2) but use the false-position method and &, = 0.2%. Solution: v = om [1-1 m²] (Answer: x=0.53125, &a= 5.88%, x = 0.55705, &a=0.051%)
CHAPTER 3 Roots of Equations 43 Exercise 3.5 f(x) = 443 Determine the real root of: 25-814 + 44x³-91x²+85x-26 (1) Graphically (2) (3) f(x)=-26+85x-91x2 + 44x³-8x4 +x5 Using bisection to locate the root to &s=10%. Employ initial guesses of x = 0.5 and x₁ = 1.0. Perform the exact computation as in (2) but use the false-position method and &, = 0.2%. Solution: v = om [1-1 m²] (Answer: x=0.53125, &a= 5.88%, x = 0.55705, &a=0.051%)
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![CHAPTER 3
Roots of Equations
43
Exercise 3.5
f(x) = 443
Determine the real root of:
25-814 + 44x³-91x²+85x-26
(1) Graphically
(2)
(3)
f(x)=-26+85x-91x2 + 44x³-8x4 +x5
Using bisection to locate the root to &s=10%. Employ initial guesses of x = 0.5 and x₁ =
1.0.
Perform the exact computation as in (2) but use the false-position method and &, = 0.2%.
Solution:
v = om [1-1 m²]
(Answer: x=0.53125, &a= 5.88%, x = 0.55705, &a=0.051%)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F34e8a647-576a-442a-b00f-9306c452585e%2Fa634730d-fd5f-4ba0-ac9d-cd0e51e267c8%2Folw9pdy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:CHAPTER 3
Roots of Equations
43
Exercise 3.5
f(x) = 443
Determine the real root of:
25-814 + 44x³-91x²+85x-26
(1) Graphically
(2)
(3)
f(x)=-26+85x-91x2 + 44x³-8x4 +x5
Using bisection to locate the root to &s=10%. Employ initial guesses of x = 0.5 and x₁ =
1.0.
Perform the exact computation as in (2) but use the false-position method and &, = 0.2%.
Solution:
v = om [1-1 m²]
(Answer: x=0.53125, &a= 5.88%, x = 0.55705, &a=0.051%)
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