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If (x^2-2(k+3)x+k^2-16=0) has equal roots, what is the value of (k)?
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Answer and explanation
Correct answer: (k=\frac{7}{6})
For equal roots, (D=0), so (4(k+3)^2-4(k^2-16)=0) must be expanded carefully; a wrong expansion changes the answer. In exams, recheck parameter expansion.
Frequently asked questions
What is the correct answer to this question?
(k=\frac{7}{6})
Why is this the correct answer?
For equal roots, (D=0), so (4(k+3)^2-4(k^2-16)=0) must be expanded carefully; a wrong expansion changes the answer. In exams, recheck parameter expansion.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Methods of Solving Quadratic Equations.
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