Podcast
Questions and Answers
What are the solutions of a quadratic equation and what are they called?
What are the solutions of a quadratic equation and what are they 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.
In the standard form of a quadratic equation $ax^2 + bx + c = 0$, what do the coefficients $a$, $b$, and $c$ represent?
In the standard form of a quadratic equation $ax^2 + bx + c = 0$, what do the coefficients $a$, $b$, and $c$ represent?
The coefficients $a$, $b$, and $c$ represent known numbers, where $a eq 0$. $a$ is the quadratic coefficient, $b$ is the linear coefficient, and $c$ is the constant coefficient or free term.
How many solutions does a quadratic equation have?
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 is the quadratic formula and how is it related to the solutions of a quadratic equation?
What is the quadratic formula and how is it related to the solutions of a quadratic equation?
Signup and view all the answers
What types of solutions can a quadratic equation with real coefficients have?
What types of solutions can a quadratic equation with real coefficients have?
Signup and view all the answers