Which of the following values is a root of the equation \(x^2-2x=0\)?
Answer and explanation
Correct answer: 2
Factor the quadratic: \(x^2-2x = x(x-2)\). Setting each factor to zero gives the roots \(x=0\) and \(x=2\). Since only \(2\) appears among the options, it is the correct choice. Check a common distractor: for \(x=3\), \(3^2-2\cdot3=9-6=3\neq0\), so 3 is not a root. Exam tip: factorise first and then set each factor equal to zero to find roots quickly.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
Factor the quadratic: \(x^2-2x = x(x-2)\). Setting each factor to zero gives the roots \(x=0\) and \(x=2\). Since only \(2\) appears among the options, it is the correct choice. Check a common distractor: for \(x=3\), \(3^2-2\cdot3=9-6=3\neq0\), so 3 is not a root. Exam tip: factorise first and then set each factor equal to zero to find roots quickly.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Roots of a Quadratic Equation.
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