What are the ordered pairs of the solutions for this system of equations? f(x) = x² – 2x + 3; f(x) = –6x %3D %3D (-3, [?]); ([ ], [ ])

Algebra and Trigonometry (6th Edition)
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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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## Systems of Linear and Quadratic Equations

### Problem Statement

What are the ordered pairs of the solutions for this system of equations?

\[ f(x) = x^2 - 2x + 3; \quad f(x) = -6x \]

Given pairs: 

\[ (-3, [?]) \; ; \; ([ \, \, \, ], [ \, \, \, ]) \]

### Instructions

Please enter the values of the ordered pairs derived from solving the system of equations above.

#### Example:

To solve this, set the two equations equal to each other:

\[ x^2 - 2x + 3 = -6x \]

Rearrange and solve the equation for \( x \):

\[ x^2 + 4x + 3 = 0 \]

#### Solutions:
Solve this quadratic equation by factoring or using the quadratic formula. Then use these \( x \)-values to find corresponding \( y \)-values using either of the original equations.

---
### Interface:

Below the problem statement and example, there is an input box where the solutions can be entered followed by a button labeled "Enter".

© 2003 - 2021 Acellus Corporation. All Rights Reserved.
Transcribed Image Text:## Systems of Linear and Quadratic Equations ### Problem Statement What are the ordered pairs of the solutions for this system of equations? \[ f(x) = x^2 - 2x + 3; \quad f(x) = -6x \] Given pairs: \[ (-3, [?]) \; ; \; ([ \, \, \, ], [ \, \, \, ]) \] ### Instructions Please enter the values of the ordered pairs derived from solving the system of equations above. #### Example: To solve this, set the two equations equal to each other: \[ x^2 - 2x + 3 = -6x \] Rearrange and solve the equation for \( x \): \[ x^2 + 4x + 3 = 0 \] #### Solutions: Solve this quadratic equation by factoring or using the quadratic formula. Then use these \( x \)-values to find corresponding \( y \)-values using either of the original equations. --- ### Interface: Below the problem statement and example, there is an input box where the solutions can be entered followed by a button labeled "Enter". © 2003 - 2021 Acellus Corporation. All Rights Reserved.
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