Which quadratic equation has a pair of non-real (imaginary) roots?
Answer and explanation
Correct answer: \(x^2+2x+5=0\)
For \(x^2+2x+5=0\), \(D=b^2-4ac=2^2-4(1)(5)=-16\). A negative discriminant gives non-real conjugate roots. Option B has equal real roots because its discriminant is zero. Exam tip: check the sign of \(D\) first.
Frequently asked questions
What is the correct answer to this question?
\(x^2+2x+5=0\)
Why is this the correct answer?
For \(x^2+2x+5=0\), \(D=b^2-4ac=2^2-4(1)(5)=-16\). A negative discriminant gives non-real conjugate roots. Option B has equal real roots because its discriminant is zero. Exam tip: check the sign of \(D\) first.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Nature of Roots.
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