Multiple choice

Solve the equation using formula. $9p^{2}\, -\, 5p\, -\, 4\, =\, 0$, then one of the roots is____

  1. $0$
  2. $4$
  3. $1$
  4. $6$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

9p^2 - 5p - 4 = 0. Using quadratic formula or factoring: (9p + 4)(p - 1) = 0. Roots are p = 1 and p = -4/9.

AI explanation

Using the quadratic formula to solve 9p^2 - 5p - 4 = 0, we calculate the discriminant as D = (-5)^2 - 4(9)(-4), which equals 25 + 144 = 169. The roots are found using p = (5 +/- sqrt(169)) / 18, yielding p = (5 + 13)/18 = 1 and p = (5 - 13)/18 = -4/9. Therefore, one of the roots is 1.

Keep practicing — related questions