6 Questions
1 Views
3.5 Stars

# Exploring the Relationship between Roots and Coefficients of Quadratic Equations

Test your understanding of the relationship between the roots and coefficients of a quadratic equation. Explore the scenarios where the equation has one real root or no real roots and discover the corresponding relationships.

Created by
@VisionarySquirrel

### Which of the following statements correctly describes the relationship between the roots and coefficients of a quadratic equation?

The product of the roots is equal to the sum of the coefficients.

### What is the relationship between the roots and coefficients of a quadratic equation if the equation has only one real root?

The sum of the roots is equal to the sum of the coefficients.

### What is the relationship between the roots and coefficients of a quadratic equation if the equation has no real roots?

The product of the roots is equal to the product of the coefficients.

### Which of the following statements correctly describes the sum and product of the roots of a quadratic equation?

<p>The sum of the roots is equal to the coefficient of the linear term, and the product of the roots is equal to the constant term.</p> Signup and view all the answers

### What is the sum of the roots of the quadratic equation $2x^2+5x+3=0$?

<p>$-3$</p> Signup and view all the answers

### What is the product of the roots of the quadratic equation $3x^2-7x+2=0$?

<p>$rac{2}{3}$</p> Signup and view all the answers

## More Quizzes Like This

Use Quizgecko on...
Browser
Information:
Success:
Error: