Multiple choice

Find the sum and the product of the roots of the following equations. $x^2-6x+5$

  1. $6, 5$
  2. $6, -5$
  3. $-6, 5$

  4. None of these
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A Correct answer
Explanation

For x^2 - 6x + 5 = 0, the sum of roots is -b/a = -(-6)/1 = 6. The product of roots is c/a = 5/1 = 5.

AI explanation

Using the standard quadratic equation form ax squared plus bx plus c equals 0, the sum of the roots is calculated as negative b over a and the product of the roots is c over a. For the equation x squared minus 6x plus 5 equals 0, the sum of the roots is negative of negative 6 over 1, giving 6. The product of the roots is 5 over 1, giving 5.

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