What are the roots of the equation \(7x^2-14x=0\)?
Answer and explanation
Correct answer: \(x=0,\;x=2\)
Factor the equation as \(7x^2-14x=7x(x-2)=0\). By the zero-product property, \(7x=0\) or \(x-2=0\), giving the roots \(x=0\) and \(x=2\). In option B, the sign of the second root is incorrect. In an exam, first take out the common factor and then apply the zero-product rule.
Frequently asked questions
What is the correct answer to this question?
\(x=0,\;x=2\)
Why is this the correct answer?
Factor the equation as \(7x^2-14x=7x(x-2)=0\). By the zero-product property, \(7x=0\) or \(x-2=0\), giving the roots \(x=0\) and \(x=2\). In option B, the sign of the second root is incorrect. In an exam, first take out the common factor and then apply the zero-product rule.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Methods of Solving Quadratic Equations.
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