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Sticky Note
If roots of x² - 5x + 4 = 0 are increased by 1, new equation is?
  1. x² - 7x + 10 = 0
  2. x² - 5x + 10 = 0
  3. x² - 6x + 10 = 0
  4. None of these
Explanation

Roots of x² - 5x + 4 = 0:  

x² - 5x + 4 = (x - 1)(x - 4) → roots are 1 and 4  

Increase each by 1:  

New roots = 1 + 1 = 2, and 4 + 1 = 5  

New equation with roots 2 and 5:  

(x - 2)(x - 5) = x² - 7x + 10


Last verified on 13-05-2026

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