Prompt: One of your classmates, Jon, solved the following quadratic equation: 2x? + 8x – 7 = 0. Jon used the quadratic formula to get the following two solutions (answers): æ = -2+ 2/30 and æ = -2 – 2/30- Jon is confused because he is sure that he applied the quadratic formula correctly, but his answers don't check in the original equation. Jon needs your help to understand the mistake he made.

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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Please answer the discussion question:

Explain to Jon the mistake he made and how to correct it. Provide evidence that your instructions for Jon are correct. That is, do not just say, "You did X here and you have to do Y". Instead, explain WHY can't X be done here and WHY it makes sense to do Y. 

Engaging in discussion and explanation of mathematical ideas is crucial to understanding and doing math successfully.
Prompt: One of your classmates, Jon, solved the following quadratic equation: 2x? + 8x – 7 = 0. Jon used the quadratic formula to get the following
two solutions (answers): x =
-2 + 2/30 and x =
:-2 – 2/30.
Jon is confused because he is sure that he applied the quadratic formula correctly, but his answers don't check in the original equation. Jon needs your
help to understand the mistake he made.
You ask to see his work and he shows you:
-8+/82 –4(2)(-7)
-8±V
x =
2(2)
-8士V120
• x =
4
= x •
-2+ V120
• x = -2 + 2/30
Transcribed Image Text:Engaging in discussion and explanation of mathematical ideas is crucial to understanding and doing math successfully. Prompt: One of your classmates, Jon, solved the following quadratic equation: 2x? + 8x – 7 = 0. Jon used the quadratic formula to get the following two solutions (answers): x = -2 + 2/30 and x = :-2 – 2/30. Jon is confused because he is sure that he applied the quadratic formula correctly, but his answers don't check in the original equation. Jon needs your help to understand the mistake he made. You ask to see his work and he shows you: -8+/82 –4(2)(-7) -8±V x = 2(2) -8士V120 • x = 4 = x • -2+ V120 • x = -2 + 2/30
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