If the discriminant of a quadratic equation is \(D=36-9h^2\), what values of \(h\) will give equal roots?
Answer and explanation
Correct answer: \(h=2\) या \(h=-2\)
A quadratic equation has equal roots when its discriminant is zero. Thus, \(36-9h^2=0\), giving \(9h^2=36\) and hence \(h^2=4\). Therefore, \(h=\pm2\), so option A is correct. Option B results from taking the square root of 36 without properly dividing by 9. Exam tip: For equal roots, always set \(b^2-4ac=0\).
Frequently asked questions
What is the correct answer to this question?
\(h=2\) या \(h=-2\)
Why is this the correct answer?
A quadratic equation has equal roots when its discriminant is zero. Thus, \(36-9h^2=0\), giving \(9h^2=36\) and hence \(h^2=4\). Therefore, \(h=\pm2\), so option A is correct. Option B results from taking the square root of 36 without properly dividing by 9. Exam tip: For equal roots, always set \(b^2-4ac=0\).
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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