Verification of obtained roots
Verification means substituting the obtained roots back into the original quadratic equation to check whether they really satisfy it.
Practice This ConceptMain explanation
Teacher explanation
Even a small sign mistake can produce a wrong root, so checking is important. Verification builds confidence and helps catch hidden errors before final submission.
Example
For x^2 - 5x + 6 = 0, check x = 2 and x = 3 by substitution.
Simple analogy
Root first, replace next, zero last.
Common confusion
Students often verify against the transformed equation instead of the original one.
Exam tip
When asked to verify, always substitute into the original equation, not into an already simplified version only.
Answer writing and exam use
1-mark use
Write the exact meaning of verification of obtained roots in one clean line.
2-mark use
Define verification of obtained roots and add one example or condition.
3-mark use
Explain verification of obtained roots, show the method or example, and mention the common mistake.
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