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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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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### Question 19: Solving Quadratic Equations
#### What is the greatest solution of \( x \) in the equation \( x^2 + 8x - 30 = 18 \)?
Enter your answer in the box provided below:
[Text Box]
---
This question requires students to solve a quadratic equation. Here, the given equation is \( x^2 + 8x - 30 = 18 \). To solve this, students should first set the equation to zero by subtracting 18 from both sides, resulting in \( x^2 + 8x - 48 = 0 \). Then they can use the quadratic formula, factoring, or completing the square to find the solutions for \( x \). Students need to determine which solution is the greatest.
### Instructions:
1. Reformat the equation to standard quadratic form \( ax^2 + bx + c = 0 \).
2. Solve the equation using an appropriate method.
3. Verify the solutions.
4. Enter the greatest solution in the provided text box.
---
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Transcribed Image Text:---
### Question 19: Solving Quadratic Equations
#### What is the greatest solution of \( x \) in the equation \( x^2 + 8x - 30 = 18 \)?
Enter your answer in the box provided below:
[Text Box]
---
This question requires students to solve a quadratic equation. Here, the given equation is \( x^2 + 8x - 30 = 18 \). To solve this, students should first set the equation to zero by subtracting 18 from both sides, resulting in \( x^2 + 8x - 48 = 0 \). Then they can use the quadratic formula, factoring, or completing the square to find the solutions for \( x \). Students need to determine which solution is the greatest.
### Instructions:
1. Reformat the equation to standard quadratic form \( ax^2 + bx + c = 0 \).
2. Solve the equation using an appropriate method.
3. Verify the solutions.
4. Enter the greatest solution in the provided text box.
---
**Powered by LinkIt!**
---
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