Multiple choice

If a, b are the roots of the equation x2 + ab = (a + 1) x, then b is equal to

    • 1

  2. 1

  3. 2

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given x^2 - (a+1)x + ab = 0. The roots are a and b. By Vieta's formulas, the product of roots is ab = a * b, which is always true. The sum of roots is a + b = a + 1. Thus, b = 1.

AI explanation

Rewrite the equation as x^2 - (a + 1)x + ab = 0. According to Vieta's formulas, the sum of the roots is a + b = a + 1, and the product of the roots is ab = ab. Subtracting a from both sides of the sum equation gives b = 1.

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