Multiple choice

Find the value of '$k$' so that the sum of the roots of equation $\displaystyle { 3x }^{ 2 }+\left( 2x+1 \right) x-k+5=0$ is equal to the product of roots.

  1. $4$
  2. $2$
  3. $3$
  4. $-6$
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D Correct answer
AI explanation

The sum of the roots is -(2*1+1)/3 = -1 and the product of the roots is (-k+5)/3. Equating the sum and product gives -1 = (-k+5)/3. Solving this yields -3 = -k+5, so k = -6.

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