What is the greatest solution of x in the equation x2 + 8x - 30 18? %3D

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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### 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]

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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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