Multiple choice

State whether true or false: After solving the quadratic equation $9x^{2}-16=0$ by factorization method, then $x\, =\, \pm\displaystyle \frac{4}{3}$

  1. True

  2. False

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

9x^2 - 16 = 0 => 9x^2 = 16 => x^2 = 16/9 => x = +/- 4/3. The statement is true.

AI explanation

To solve the equation 9x^2 - 16 = 0 by factorization, we use the difference of squares formula, a^2 - b^2 = (a - b)(a + b). This factors the equation into (3x - 4)(3x + 4) = 0. Setting each factor to zero results in x = 4/3 or x = -4/3, making the statement True.