Exploring the Relationship between Roots and Coefficients of Quadratic Equations
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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

Questions and Answers

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

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