Multiple choice

Find the roots of the following quadratic equation by using the quadratic formula $x^2 - 16x + 64 = 0$

  1. $-8,-8$
  2. $8,8$
  3. $16,16$
  4. $-16,-16$
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B Correct answer
Explanation

x^2 - 16x + 64 = 0 is (x - 8)^2 = 0. The roots are 8 and 8.

AI explanation

Using the quadratic formula with a equal to 1, b equal to negative 16 and c equal to 64, we first calculate the discriminant as 256 minus 256, which equals 0. Taking the square root of 0 gives the numerator negative 16, and dividing by 2 yields a single root of 8. Therefore, the two real and equal roots are 8 and 8.

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