How to Identify and Solve Quadratic Equations

What is a quadratic equation?

A. An equation involving two or more variables

B. An equation involving two variables raised to the second power

C. An equation that cannot be solved

D. An equation with only one variable

Answer

B. An equation involving two variables raised to the second power

A quadratic equation is an equation of the form ax^2 + bx + c = 0, where x represents an unknown variable, and a, b, and c are constants with a not equal to 0. The highest power of x in a quadratic equation is 2, which makes it a quadratic equation. Quadratic equations can have one, two, or zero real solutions depending on the discriminant (b^2 - 4ac) value.

To solve a quadratic equation, you can use various methods such as factoring, completing the square, or using the quadratic formula. By identifying the coefficients (a, b, and c) in the equation, you can determine the nature of the solutions – real or complex. Understanding the nature and properties of quadratic equations is essential in mathematics, as they are commonly used in various fields such as physics, engineering, and finance.