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Which of the following becomes a quadratic equation in the variable \(x\) after simplification?

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Answer and explanation

Correct answer: \(x(x-3)=4\)

Expanding \(x(x-3)=4\) gives \(x^2-3x-4=0\), whose highest power of \(x\) is 2, so it is quadratic. Option B is an identity because both sides are identical. Exam tip: bring all terms to one side, then check the highest power.

Related tags

Quadratic EquationsEquation ClassificationAlgebraic ExpressionsClass 10 MathematicsPolynomial Degree

Frequently asked questions

What is the correct answer to this question?

\(x(x-3)=4\)

Why is this the correct answer?

Expanding \(x(x-3)=4\) gives \(x^2-3x-4=0\), whose highest power of \(x\) is 2, so it is quadratic. Option B is an identity because both sides are identical. Exam tip: bring all terms to one side, then check the highest power.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Introduction to Quadratic Equations.

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