Which of the following equations is a quadratic equation?
Answer and explanation
Correct answer: \(x^2+3x+2=0\)
A quadratic equation has the highest power (degree) of the variable \(x\) equal to 2. In option A the highest power of \(x\) is 2 (term \(x^2\)), so it is a quadratic equation. Option B is degree 1 (linear), option C is degree 3 (cubic), and option D has no variable so it is not an equation in \(x\). Exam tip: To identify degree quickly, look for the term with the largest exponent of the variable and check that its coefficient is non-zero.
Frequently asked questions
What is the correct answer to this question?
\(x^2+3x+2=0\)
Why is this the correct answer?
A quadratic equation has the highest power (degree) of the variable \(x\) equal to 2. In option A the highest power of \(x\) is 2 (term \(x^2\)), so it is a quadratic equation. Option B is degree 1 (linear), option C is degree 3 (cubic), and option D has no variable so it is not an equation in \(x\). Exam tip: To identify degree quickly, look for the term with the largest exponent of the variable and check that its coefficient is non-zero.
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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