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5. Nissos and Chelita were arguing over a math problem. Nissos was trying to explain to Chelita that she had made a mistake in finding the x-intercepts of the function y= x²-10x+21. "No way!" Chelita exclaimed. "I know how to find x-intercepts! You make the y equal to zero and solve for x. I know I did this right!" Here is Chelita's work: Step 1: x² -10x+21=0, so (x+7)(x+3)=0. Step 2: Therefore, x+7=0 or x+3=0. Step 3: So x=-7 or x=-3. Nissos tried to explain to Chelita that she had done something wrong. What is Chelita's error? Justify and explain your answer completely.

5. Nissos and Chelita were arguing over a math problem. Nissos was trying to explain to Chelita that she had made a mistake in finding the x-intercepts of the function y= x²-10x+21. "No way!" Chelita exclaimed. "I know how to find x-intercepts! You make the y equal to zero and solve for x. I know I did this right!" Here is Chelita's work: Step 1: x² -10x+21=0, so (x+7)(x+3)=0. Step 2: Therefore, x+7=0 or x+3=0. Step 3: So x=-7 or x=-3. Nissos tried to explain to Chelita that she had done something wrong. What is Chelita's error? Justify and explain your answer completely.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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5. Nissos and Chelita were arguing over a math problem. Nissos was trying to explain to Chelita that she had made a mistake in finding the x-intercepts of the function y= x²-10x+21. "No way!" Chelita exclaimed. "I know how to find x-intercepts! You make the y equal to zero and solve for x. I know I did this right!" Here is Chelita's work: Step 1: x² -10x+21=0, so (x+7)(x+3)=0. Step 2: Therefore, x+7=0 or x+3=0. Step 3: So x=-7 or x=-3. Nissos tried to explain to Chelita that she had done something wrong. What is Chelita's error? Justify and explain your answer completely.
Transcribed Image Text:5. Nissos and Chelita were arguing over a math problem. Nissos was trying to explain to Chelita that she had made a mistake in finding the x-intercepts of the function y= x²-10x+21. "No way!" Chelita exclaimed. "I know how to find x-intercepts! You make the y equal to zero and solve for x. I know I did this right!" Here is Chelita's work: Step 1: x² -10x+21=0, so (x+7)(x+3)=0. Step 2: Therefore, x+7=0 or x+3=0. Step 3: So x=-7 or x=-3. Nissos tried to explain to Chelita that she had done something wrong. What is Chelita's error? Justify and explain your answer completely.
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