Quadratic Equations
For what value of k does the equation x² + kx + 16 = 0 have equal roots?
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Solution
±8
- Equality Condition: For a quadratic equation to have equal roots, the discriminant D must be zero (D=0).
- Identify Coefficients: a=1,b=k,c=16.
- Equation:
- D=k2−4(1)(16)=0
- k2−64=0⟹k2=64
- Result: k=±8.
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About This Question
- Subject
- mathematics
- Chapter
- complex numbers and quadratic equations
- Topic
- quadratic equations
- Difficulty
- Easy
- Year
- 2025
This easy difficulty mathematics question is from the chapter complex numbers and quadratic equations, covering the topic of quadratic equations. It appeared in the 2025 exam. Practice this and similar questions to strengthen your understanding of complex numbers and quadratic equations concepts.
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