Multiple choice

If the equation x2 – 5x + 6 = 0 has real roots, then what is the sum and product of the roots of this equation?

  1. 5, 5

  2. 6, 5

  3. 8, 6

  4. 5, 6
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For a quadratic equation ax^2 + bx + c = 0, the sum of roots is -b/a and the product is c/a. Here, a=1, b=-5, and c=6, so the sum is -(-5)/1 = 5 and the product is 6/1 = 6.

AI explanation

Using Vieta's formulas for a quadratic equation ax squared + bx + c = 0, the sum of the roots is -b/a and the product of the roots is c/a. For the equation x squared - 5x + 6 = 0, the sum of the roots is -(-5)/1 = 5. The product of the roots is 6/1 = 6. Therefore, the sum and product of the roots are 5 and 6.

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