Roots of a quadratic equation
The roots of a quadratic equation are the values of x that make the equation true, meaning they make the left side equal to zero.
Practice This ConceptMain explanation
Teacher explanation
A root is not just any number; it is a value that satisfies the equation exactly. When we solve a quadratic equation, we are looking for these values only.
Example
For x^2 - 5x + 6 = 0, the roots are 2 and 3.
Simple analogy
A root is a value that makes the equation disappear into zero.
Common confusion
Students sometimes call any number written in the equation a root, even if it does not satisfy the equation.
Exam tip
To check a root, substitute it back into the original equation and see whether the left side becomes zero.
Answer writing and exam use
1-mark use
Write the exact meaning of roots of a quadratic equation in one clean line.
2-mark use
Define roots of a quadratic equation and add one example or condition.
3-mark use
Explain roots of a quadratic equation, show the method or example, and mention the common mistake.
Practice this concept with focused MCQs
Open the concept quiz intro first, review the test details, and then start a focused MCQ set from this concept only. Instant score and answer review are live now.
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