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After simplification, which of the following equations does not remain a quadratic equation in x?

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Answer and explanation

Correct answer: \((x+1)^2=x^2+4x\)

In option C, expanding gives \(x^2+2x+1=x^2+4x\). The \(x^2\) terms cancel, leaving \(2x-1=0\), which is linear. Exam tip: simplify fully and then check the highest power of x.

Related tags

Quadratic EquationsEquation ClassificationAlgebraic SimplificationPolynomial DegreeClass 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

\((x+1)^2=x^2+4x\)

Why is this the correct answer?

In option C, expanding gives \(x^2+2x+1=x^2+4x\). The \(x^2\) terms cancel, leaving \(2x-1=0\), which is linear. Exam tip: simplify fully and then check the highest power of x.

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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