Trial and Improvement Method for Approximating Solutions of Equations

Trial and Improvement Method for Approximating Solutions of Equations

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the trial and improvement method for solving equations, particularly when exact solutions are difficult to find. It covers both graphical and algebraic approaches, demonstrating how to narrow down the solution range to achieve desired accuracy. An example problem is provided to illustrate the process in detail.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the different methods mentioned for solving quadratic equations?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the trial and improvement method works in finding approximate solutions.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the significance of the graph intersecting the X-axis in relation to finding solutions.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you determine that a solution lies between two values using the change of sign method?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps would you take to narrow down the possible solution range using trial and improvement?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the importance of rearranging the equation to equal zero before applying the change of sign method?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

In the example provided, how did the teacher demonstrate finding a solution to one decimal place?

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