Multiple choice

The roots of the equation $\displaystyle x^{2}-8x+15=0$ are:

  1. $2, 3$
  2. $3,5$
  3. $9, 15$
  4. $6, 5$
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B Correct answer
Explanation

To find the roots of x^2 - 8x + 15 = 0, we factor the quadratic as (x - 3)(x - 5) = 0. Setting each factor to zero gives x = 3 and x = 5.

AI explanation

To solve x^2 - 8x + 15 = 0, we need two numbers that multiply to 15 and add up to -8. The numbers -3 and -5 fit these conditions perfectly. This allows us to factor the quadratic as (x - 3)(x - 5) = 0. Setting each factor to zero gives the roots as 3 and 5.

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