Math | Extended Problems | Extraneous Solutions Name: Date: Extended Problems Extraneous Solutions Solve the problems. When you have finished, submit this assignment to your teacher by the due date for full credit Total score: _ of 20 points (Score for Question 1; _ of 7 points) 1. Use the equation x + 2= 1. Using this equation as a model, create your own equation that has extraneous solutions. (a) Using trial and error with numbers for a, b, and c, create an equation of the form x + a = vbx + c, where a. b, and c are all positive integers and D > 1 such that 7 is a solution and there is an extraneous solution. (Hint: Substitute 7 for x, and choose a value for a. Then square both sides so you can choose a, b, and c that will make the equation true.) (b) Solve the equation you created in Part 2a. Answer. @Stride, Inc. All rights reserved. No reproduction without written consent of Stride, Inc. Page 2 of 3Math | Extended Problems | Extraneous Solutions (Score for Question J: _ of 6 points) 3. Now consider equations of the form x- a = vbx + c , where a. b, and c are all positive Integers and b > 1. (a) Create an equation of this form that has 7 as a solution and an extraneous solution. Give the extraneous solution. (b) What must be true about the value of by + c to ensure that there is a real number solution to the equation? Explain. Answer: @ Stride, Inc. All rights reserved. No reproduction without written consent of Stride, Inc. Page 3 of 3