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The roots of the quadratic equation ax² + bx + c = 0₁ a 0 are given by the following formula: - b ± √b² - 4ac 2a In this formula, the term b² - 4ac is called the discriminant. If b² - 4ac = 0, then the equation has a single (repeated) root. If

The roots of the quadratic equation ax² + bx + c = 0₁ a 0 are given by the following formula: - b ± √b² - 4ac 2a In this formula, the term b² - 4ac is called the discriminant. If b² - 4ac = 0, then the equation has a single (repeated) root. If

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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To create an educational program to determine the roots of a quadratic equation, follow these instructions: 1. **Input Requirement**: Prompt the user to input values for: - \( a \) (the coefficient of \( x^2 \)) - \( b \) (the coefficient of \( x \)) - \( c \) (the constant term) 2. **Output**: - Display the type of roots of the equation: - If \( b^2 - 4ac > 0 \), the equation has two real roots. - If \( b^2 - 4ac = 0 \), the equation has one real root (a repeated root). - If \( b^2 - 4ac < 0 \), the equation has two complex roots. 3. **Additional Functionality**: - If \( b^2 - 4ac \geq 0 \), calculate and display the roots of the quadratic equation. **Hint**: Use the `pow` function to compute necessary powers.
Transcribed Image Text:To create an educational program to determine the roots of a quadratic equation, follow these instructions: 1. **Input Requirement**: Prompt the user to input values for: - \( a \) (the coefficient of \( x^2 \)) - \( b \) (the coefficient of \( x \)) - \( c \) (the constant term) 2. **Output**: - Display the type of roots of the equation: - If \( b^2 - 4ac > 0 \), the equation has two real roots. - If \( b^2 - 4ac = 0 \), the equation has one real root (a repeated root). - If \( b^2 - 4ac < 0 \), the equation has two complex roots. 3. **Additional Functionality**: - If \( b^2 - 4ac \geq 0 \), calculate and display the roots of the quadratic equation. **Hint**: Use the `pow` function to compute necessary powers.
The roots of the quadratic equation \( ax^2 + bx + c = 0, a \neq 0 \) are given by the following formula: \[ \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \] In this formula, the term \( b^2 - 4ac \) is called the **discriminant**. If \( b^2 - 4ac = 0 \), then the equation has a single (repeated) root.
Transcribed Image Text:The roots of the quadratic equation \( ax^2 + bx + c = 0, a \neq 0 \) are given by the following formula: \[ \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \] In this formula, the term \( b^2 - 4ac \) is called the **discriminant**. If \( b^2 - 4ac = 0 \), then the equation has a single (repeated) root.
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