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## George is solving the equation below by finding successive approximations. He started from a graph where he found th

Question

George is solving the equation below by finding successive approximations.

He started from a graph where he found the solution to be between 5 and 6. Using the lower and upper bounds from the graph, George did the following work for the first iteration.

Step 1

Rewrite the equation so that it equals zero.

Step 2 Evaluate the rewritten equation at the lower and upper bounds.

Since the solution to the original equation is represented by a zero, one of the bounds should yield a negative difference and the other should yield a positive difference.

Step 3 Take the average of the lower and upper bounds from the graph.

Step 4 Evaluate the rewritten equation at .

Step 5 Since this value of x yields a negative difference, use it to replace the previous upper bound that yielded a negative difference, .

So, the bounds are now and .

In what step, if any, did George make his first mistake?

A.

George made no mistakes, and his work is correct.

B.

In step 3, George should have averaged the two differences instead of the two bounds.

C.

In step 1, George should have subtracted in the opposite order to set the equation equal to 0.

D.

In step 5, George should have used as the new lower bound.

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Mathematics
3 years
2021-07-17T23:48:12+00:00
2021-07-17T23:48:12+00:00 1 Answers
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## Answers ( )

Answer:

Step-by-step explanation:

B