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Explain how to determine if an equation has one solution.

Question:

Explain how to determine if an equation has one solution.

Roots of an Equation

If a value is defined to be the root of an equation, it means that it is a solution to that equation. This value satisfies the equation and maybe graphically represented as the point where the equation touches the x-axis.

Answer and Explanation:

The number of maximum solutions relies on the degree of the independent variable considered equation. Thus for a quadratic equation, the degree, or exponent, is 2, and therefore, there are at most 2 solutions. For a cubic equation, of the third degree, the maximum number of solutions is 3. So, An equation has one solution if the independent variable is of the first degree, which is the case for a linear equation.


Learn more about this topic:

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Forming Polynomial Equations with Roots

from HSC Mathematics: Exam Prep & Syllabus

Chapter 20 / Lesson 3
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