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,...
Related questions
Question
![## Problem 7: Applying the Quadratic Formula
**Instruction:**
Input the correct values into the quadratic formula below:
Given Quadratic Equation:
\[ 4x^2 + 3x - 2 = 0 \]
**Quadratic Formula:**
\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]
**Interactive Template:**
\[ x = \frac{- \boxed{\phantom{a}} \pm \sqrt{\boxed{\phantom{a}}^2 - 4 \cdot \boxed{\phantom{a}} \cdot \boxed{\phantom{a}}}}{2 \cdot \boxed{\phantom{a}}} \]
**Step-by-Step Explanation:**
To solve the quadratic equation using the quadratic formula, follow these steps:
1. **Identify the coefficients** from the given quadratic equation \(ax^2 + bx + c = 0\).
- **a:** The coefficient of \(x^2\).
- **b:** The coefficient of \(x\).
- **c:** The constant term.
2. **Input the values** of a, b, and c into the template.
3. **Simplify** the expression under the square root (the discriminant).
4. **Calculate** the final values by simplifying the expression.
**Example with the Given Equation:**
For the equation \(4x^2 + 3x - 2 = 0\):
- \(a = 4\)
- \(b = 3\)
- \(c = -2\)
**Substitute these values into the formula:**
\[ x = \frac{- \boxed{3} \pm \sqrt{\boxed{3}^2 - 4 \cdot \boxed{4} \cdot \boxed{-2}}}{2 \cdot \boxed{4}} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78a256bd-ea52-4682-957b-1448c364f8ac%2Ff3e612e7-4f01-46b7-92db-1570f014363b%2Fzwqmxlf_processed.png&w=3840&q=75)
Transcribed Image Text:## Problem 7: Applying the Quadratic Formula
**Instruction:**
Input the correct values into the quadratic formula below:
Given Quadratic Equation:
\[ 4x^2 + 3x - 2 = 0 \]
**Quadratic Formula:**
\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]
**Interactive Template:**
\[ x = \frac{- \boxed{\phantom{a}} \pm \sqrt{\boxed{\phantom{a}}^2 - 4 \cdot \boxed{\phantom{a}} \cdot \boxed{\phantom{a}}}}{2 \cdot \boxed{\phantom{a}}} \]
**Step-by-Step Explanation:**
To solve the quadratic equation using the quadratic formula, follow these steps:
1. **Identify the coefficients** from the given quadratic equation \(ax^2 + bx + c = 0\).
- **a:** The coefficient of \(x^2\).
- **b:** The coefficient of \(x\).
- **c:** The constant term.
2. **Input the values** of a, b, and c into the template.
3. **Simplify** the expression under the square root (the discriminant).
4. **Calculate** the final values by simplifying the expression.
**Example with the Given Equation:**
For the equation \(4x^2 + 3x - 2 = 0\):
- \(a = 4\)
- \(b = 3\)
- \(c = -2\)
**Substitute these values into the formula:**
\[ x = \frac{- \boxed{3} \pm \sqrt{\boxed{3}^2 - 4 \cdot \boxed{4} \cdot \boxed{-2}}}{2 \cdot \boxed{4}} \]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education