Consider this equation.
(1)/(2)x^(3)+x-7=-3\sqrt(x-1)
Approximate the solution to the equation using three iterations of successive approximation. Use the graph as a starting point.

The graph shows two curved lines. The points on the red line are (3, 8), (2, 0), (0, minus 7), and (minus 1, minus 8). The points on the blue start from (1, 0), (2, minus 3), and (8, minus 8). Both lines intersect at the point (1.9 minuses 2.9)

A. ,x(27)/(16)
B. x(25)/(16)
C. x(15)/(8)
D. x(13)/(8)

Question

07-06-2024
Mathematics

Answered

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Consider this equation.
(1)/(2)x^(3)+x-7=-3\sqrt(x-1)
Approximate the solution to the equation using three iterations of successive approximation. Use the graph as a starting point.

The graph shows two curved lines. The points on the red line are (3, 8), (2, 0), (0, minus 7), and (minus 1, minus 8). The points on the blue start from (1, 0), (2, minus 3), and (8, minus 8). Both lines intersect at the point (1.9 minuses 2.9)

A. ,x(27)/(16)
B. x(25)/(16)
C. x(15)/(8)
D. x(13)/(8)

Sagot :

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