Multiple choice

Sum of positive roots of the equation $(x^2 - 12x + 35)(x^2 + 10x + 24) = 0$ is:-

  1. $32$
  2. $16$
  3. $11$
  4. $12$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The roots of x^2 - 12x + 35 = 0 are 5 and 7. The roots of x^2 + 10x + 24 = 0 are -4 and -6. The positive roots are 5 and 7, and their sum is 12.

AI explanation

The first factor gives roots 5 and 7, and the second factor gives roots negative 4 and negative 6. The positive roots of the entire equation are 5 and 7. Adding these positive roots gives 5 plus 7, which is 12.

Keep practicing — related questions