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 Let a, b, c be real numbers such that 4a + 2b + c = 0 and ab > 0; then the quadratic equation ax2 + bx + c = 0 has
  • a)
    real roots
  • b)
    non-real roots
  • c)
    purely imaginary roots
  • d)
    only one real roots 
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Let a, b, c be real numbers such that 4a + 2b + c = 0 and ab > 0; t...
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Community Answer
Let a, b, c be real numbers such that 4a + 2b + c = 0 and ab > 0; t...
Since the coefficients of the equation one real, therefore, either both the roots are real or both are non real ; But
4a+ 2b+c = 0 
⇒ a(2)2 + b(2) + c = 0
Hence 2 is a root of ax2 + bx + c = 0 
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Let a, b, c be real numbers such that 4a + 2b + c = 0 and ab > 0; then the quadratic equation ax2 + bx + c = 0 hasa)real rootsb)non-real rootsc)purely imaginary rootsd)only one real rootsCorrect answer is option 'A'. Can you explain this answer?
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Let a, b, c be real numbers such that 4a + 2b + c = 0 and ab > 0; then the quadratic equation ax2 + bx + c = 0 hasa)real rootsb)non-real rootsc)purely imaginary rootsd)only one real rootsCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let a, b, c be real numbers such that 4a + 2b + c = 0 and ab > 0; then the quadratic equation ax2 + bx + c = 0 hasa)real rootsb)non-real rootsc)purely imaginary rootsd)only one real rootsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let a, b, c be real numbers such that 4a + 2b + c = 0 and ab > 0; then the quadratic equation ax2 + bx + c = 0 hasa)real rootsb)non-real rootsc)purely imaginary rootsd)only one real rootsCorrect answer is option 'A'. Can you explain this answer?.
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