Multiple choice

A and B are the roots of the equation (x^2 - 13x + N = 0). If (A - B = 3), what is the value of N?

  1. 40

  2. 27

  3. 36

  4. 45
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A Correct answer
Explanation

Given A + B = 13 and A - B = 3, solving gives A = 8 and B = 5. For quadratic x^2 - 13x + N = 0, N equals the product of roots: N = A × B = 8 × 5 = 40. This uses Vieta's formulas relating coefficients to root sums and products.

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