CLEA for the 11) For the following equation, use the discriminant to determine the number and type of solutions. y = 3x² - 8x + 2 Discriminant Number & type of solutions:
CLEA for the 11) For the following equation, use the discriminant to determine the number and type of solutions. y = 3x² - 8x + 2 Discriminant Number & type of solutions:
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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can one please help with this? please
![### Quadratic Equations and Complex Numbers
#### Problem 11: Use of Discriminant to Determine Solutions
**Question:** For the following equation, use the discriminant to determine the number and type of solutions.
\[ y = 3x^2 - 8x + 2 \]
- **Discriminant:** \( \underline{\hspace{4cm}} \)
- **Number & type of solutions:** \( \underline{\hspace{4cm}} \)
#### Problem 12: Simplification of Complex Numbers
**Question:** Simplify. (3 points each)
\[ (3 + 2i) + (5 - 3i) \]
#### Problem 13: Multiplication of Complex Numbers
**Question:** Simplify. (3 points each)
\[ (4 + 2i)(3 - 2i) \]
#### Problem 14: Conversion to Standard Form
**Question:** Convert \( y + 3 = -2(x - 4)^2 \) to standard form. (3 points)
---
### Detailed Information on Graphs or Diagrams
There is no specific graph or diagram presented in the image. The image purely consists of mathematical problems related to quadratic equations and complex numbers. The content includes problems for practicing the use of the discriminant to find the nature of quadratic roots, addition, and multiplication of complex numbers, and conversion of an equation to its standard form.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a15d03a-cf19-479c-9f1f-b178583254bd%2Fa497ebe8-b90e-4e6e-b172-5e443880a2b6%2F9gngtw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Quadratic Equations and Complex Numbers
#### Problem 11: Use of Discriminant to Determine Solutions
**Question:** For the following equation, use the discriminant to determine the number and type of solutions.
\[ y = 3x^2 - 8x + 2 \]
- **Discriminant:** \( \underline{\hspace{4cm}} \)
- **Number & type of solutions:** \( \underline{\hspace{4cm}} \)
#### Problem 12: Simplification of Complex Numbers
**Question:** Simplify. (3 points each)
\[ (3 + 2i) + (5 - 3i) \]
#### Problem 13: Multiplication of Complex Numbers
**Question:** Simplify. (3 points each)
\[ (4 + 2i)(3 - 2i) \]
#### Problem 14: Conversion to Standard Form
**Question:** Convert \( y + 3 = -2(x - 4)^2 \) to standard form. (3 points)
---
### Detailed Information on Graphs or Diagrams
There is no specific graph or diagram presented in the image. The image purely consists of mathematical problems related to quadratic equations and complex numbers. The content includes problems for practicing the use of the discriminant to find the nature of quadratic roots, addition, and multiplication of complex numbers, and conversion of an equation to its standard form.
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