Multiple choice

A and B are the roots of the equation x2 – 13x + N = 0. If A – B = 3, what is the value of N? A और B समीकरण x2 - 13x + N = 0 के मूल हैं । यदि A - B = 3, N का मान क्या है?

  1. 40

  2. 27

  3. 36

  4. 45
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A Correct answer
Explanation

Using Vieta's formulas: A + B = 13, AB = N. Also A - B = 3. Squaring: (A+B)² = A² + 2AB + B² = 169, (A-B)² = A² - 2AB + B² = 9. Subtracting: 4AB = 160 → AB = 40. Therefore N = 40.

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