Multiple choice

State whether true or false: After solving the quadratic equation $49x^{2}\, =\, 36$ by factorization method, then $x\, =\, \pm\displaystyle \frac{6}{7}$

  1. True

  2. False
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A Correct answer
Explanation

Solving 49x^2 = 36 gives x^2 = 36/49. Taking the square root of both sides yields x = +/- 6/7.

AI explanation

Rearranging the equation 49x^2 = 36 gives 49x^2 - 36 = 0. Using the difference of squares formula, this factors into (7x - 6)(7x + 6) = 0. Setting each factor to zero results in x = 6/7 or x = -6/7, making the statement True.

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