Which of the following contains the \(x^2\) term?
Answer and explanation
Correct answer: \(x^2-2=0\)
A quadratic (second-degree) expression must include a nonzero \(x^2\) term. Option C, \(x^2-2=0\), clearly contains the \(x^2\) term so it is correct. The other options, \(5x+2=0\), \(7x-9=0\), and \(3x+4=7\), are linear equations whose highest power of \(x\) is 1 and therefore do not contain \(x^2\). Exam tip: To identify a quadratic quickly, check the highest power of the variable — if it is 2, the equation is quadratic.
Frequently asked questions
What is the correct answer to this question?
\(x^2-2=0\)
Why is this the correct answer?
A quadratic (second-degree) expression must include a nonzero \(x^2\) term. Option C, \(x^2-2=0\), clearly contains the \(x^2\) term so it is correct. The other options, \(5x+2=0\), \(7x-9=0\), and \(3x+4=7\), are linear equations whose highest power of \(x\) is 1 and therefore do not contain \(x^2\). Exam tip: To identify a quadratic quickly, check the highest power of the variable — if it is 2, the equation is quadratic.
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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