Multiple choice

Which of the following equation has the sum of its roots as 2

  1. $\displaystyle 5x^{2}-\frac{2}{5}x-3=0$
  2. $\displaystyle x^{2}-2x-5=0$
  3. $\displaystyle 2x^{2}-2x+1=0$
  4. $\displaystyle 3x^{2}-2x+7=0$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For a quadratic equation ax^2 + bx + c = 0, the sum of roots is -b/a. In option B, x^2 - 2x - 5 = 0, the sum of roots is -(-2)/1 = 2.

AI explanation

The sum of the roots of a quadratic ax^2 + bx + c = 0 is given by -b/a. Checking option B, x^2 - 2x - 5 = 0, the sum is -(-2)/1 = 2. The equation is x^2 - 2x - 5 = 0.