Multiple choice

The roots of the quadratic equations $(x-1)^2 = \frac{9}{4}$, are

  1. $x=-\frac{5}{3}, x=\frac{5}{3}$
  2. $x=-\frac{1}{2}, x=\frac{5}{2}$
  3. $x=\frac{5}{9}, x=\frac{13}{9}$
  4. $x=1\pm \sqrt{\frac{2}{3}}$
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B Correct answer
Explanation

(x-1)^2 = 9/4 implies x-1 = 3/2 or x-1 = -3/2. Thus x = 5/2 or x = -1/2.

AI explanation

Taking the square root of both sides of the equation yields x - 1 = 3/2 or x - 1 = -3/2. Solving the first case gives x = 5/2, and solving the second case gives x = -1/2.

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