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If the discriminant of a quadratic equation is \\(b^2-4ac=-7\\), what is the correct conclusion about the nature of its roots?
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Answer and explanation
Correct answer: No real roots
For a quadratic equation, the discriminant is \(D=b^2-4ac\). Here, \(D=-7<0\), so the equation has no real roots; its roots are complex. Option B requires \(D>0\), while option C requires \(D=0\). Exam tip: whenever \(D<0\), conclude that there are no real roots.
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What is the correct answer to this question?
No real roots
Why is this the correct answer?
For a quadratic equation, the discriminant is \(D=b^2-4ac\). Here, \(D=-7<0\), so the equation has no real roots; its roots are complex. Option B requires \(D>0\), while option C requires \(D=0\). Exam tip: whenever \(D<0\), conclude that there are no real roots.
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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