Multiple choice

Root of quadratic equation $4m^{2}\, -\, 9\, =\, 0$ is

  1. $\displaystyle\frac{2}{3}$
  2. $2$
  3. $\pm\displaystyle\frac{3}{2}$

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

4m^2 - 9 = 0 implies 4m^2 = 9, so m^2 = 9/4. Taking the square root of both sides gives m = +/- 3/2.

AI explanation

To solve 4m^2 - 9 = 0, we isolate the squared term to get 4m^2 = 9. Dividing by 4 leaves m^2 = 9/4. Taking the square root of both sides provides the roots m = 3/2 and m = -3/2, which is written as plus or minus 3/2.

Keep practicing — related questions