Multiple choice

Find all the roots of the equation 4x4 - 144x2 = 0

  1. 0, 0, 2 and 3

  2. 0, 4, 2 and - 3

  3. 0, 0, 6 and - 6

  4. 2, 4, - 3 and 6

  5. 3, - 5, 4 and 2
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Factor the equation: 4x^2(x^2 - 36) = 0. This gives 4x^2(x - 6)(x + 6) = 0. The roots are x = 0, 0, 6, -6.

AI explanation

Factoring out the common term 4x2 from the equation 4x4 - 144x2 = 0 gives 4x2(x2 - 36) = 0. Applying the difference of squares identity to the term in parentheses yields 4x2(x - 6)(x + 6) = 0. Setting each factor to zero, we find the roots are x = 0 (a double root from 4x2), x = 6, and x = -6. Therefore, the roots are 0, 0, 6 and -6.

Keep practicing — related questions