Multiple choice

To make $0$ as the root of the quadratic equation ${ ax }^{ 2 }+(2b+6)x+(c-4)=0$

  1. c=4

  2. b=3

  3. b=-3

  4. a=1
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A Correct answer
Explanation

If 0 is a root of the equation ax^2 + (2b+6)x + (c-4) = 0, then substituting x=0 must satisfy the equation. This results in c-4 = 0, which implies c=4.

AI explanation

If 0 is a root of the quadratic equation ax^2 + (2b+6)x + (c-4) = 0, substituting x = 0 must make the equation valid. Plugging in 0 yields a(0)^2 + (2b+6)(0) + (c-4) = 0, which simplifies to c - 4 = 0. Solving this gives c = 4.

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