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How many real roots does the equation \(x^2+3x+7=0\) have?
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Answer and explanation
Correct answer: 0
Here, \(a=1, b=3, c=7\). The discriminant is \(D=b^2-4ac=3^2-4(1)(7)=9-28=-19<0\). Therefore, the equation has no real roots, so the correct answer is 0. Exam tip: For a quadratic equation, \(D<0\) means there are zero real roots.
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
Here, \(a=1, b=3, c=7\). The discriminant is \(D=b^2-4ac=3^2-4(1)(7)=9-28=-19<0\). Therefore, the equation has no real roots, so the correct answer is 0. Exam tip: For a quadratic equation, \(D<0\) means there are zero 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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