Multiple choice

A quadratic equation $\displaystyle ax^{2}-2ax+b=0 $ has two real solutions. Their average is

  1. $1$
  2. $2$
  3. $\displaystyle \frac{b}{a}$
  4. $\displaystyle \frac{2b}{a}$
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A Correct answer
Explanation

For ax^2 - 2ax + b = 0, the sum of roots is -(-2a)/a = 2. The average of the two roots is (sum of roots) / 2 = 2 / 2 = 1.

AI explanation

Using the sum of roots formula for a quadratic equation, the sum is (-(-2a))/a, which simplifies to 2. The average of the two solutions is half of their sum, so 2 divided by 2 equals 1. The value is 1.

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