Multiple choice

Find the roots of the equation (2x – 5) (3x + 4) = 0.

  1. 5, – 4

  2. 2, 3

  3. 5/2, – 4/3

  4. – 2/5, + 4/3
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Set each factor to zero: 2x - 5 = 0 gives x = 5/2. 3x + 4 = 0 gives x = -4/3.

AI explanation

Using the zero product property, if (2x - 5)(3x + 4) = 0, then either 2x - 5 = 0 or 3x + 4 = 0. Solving the first equation for x gives 2x = 5, so x = 5/2. Solving the second equation gives 3x = -4, so x = -4/3. The result is 5/2, -4/3.

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