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Quadratic Equations and Coefficients Quiz

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Quadratic Equations and Coefficients Quiz

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Questions and Answers

In a quadratic equation, what do the coefficients a, b, and c represent?

The coefficients a, b, and c in a quadratic equation represent known numbers, where a ≠ 0. They are respectively called the quadratic coefficient, the linear coefficient, and the constant coefficient or free term.

What are the solutions of a quadratic equation called?

The values of x that satisfy the equation are called solutions of the equation, and roots or zeros of the expression on its left-hand side.

How many solutions does a quadratic equation have?

A quadratic equation has at most two solutions. If there is only one solution, one says that it is a double root.

What are the possible types of solutions for a quadratic equation with real coefficients?

If all the coefficients are real numbers, there are either two real solutions, or a single real double root, or two complex solutions that are complex conjugates of each other. Signup and view all the answers

What is the name of the formula that expresses the solutions of a quadratic equation in terms of a, b, and c?

The quadratic formula expresses the solutions in terms of a, b, and c. Signup and view all the answers

What is the formula that expresses the solutions of a quadratic equation in terms of $a$, $b$, and $c$?

Quadratic formula Signup and view all the answers

What is the maximum number of real solutions a quadratic equation can have?

2 Signup and view all the answers

What is the term used for the values of $x$ that satisfy a quadratic equation?

Solutions Signup and view all the answers

If a quadratic equation has only one solution, what is it called?

Double root Signup and view all the answers

What is the term used for an equivalent equation obtained from factoring a quadratic equation?

Factored form Signup and view all the answers