Multiple choice

Let a, b and c be real numbers such that $4a + 2b + c = 0$ and $ab > 0$. Which of the following is true for the quadratic equation $ax^{2} + bx + c = 0$?

  1. One root of the equation is 2
  2. $ b ^ {2} <4ac$

  3. Both negative roots

  4. Both Irrational roots
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A Correct answer
AI explanation

Substitute x equals 2 into the quadratic expression to get a times 2 squared plus b times 2 plus c, which simplifies to 4a plus 2b plus c. Since the problem states that 4a plus 2b plus c equals 0, the expression evaluates to 0 when x equals 2. Therefore, one root of the equation is 2.

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