If roots of x² - 5x + 4 = 0 are increased by 1, new equation is?
- x² - 7x + 10 = 0
- x² - 5x + 10 = 0
- x² - 6x + 10 = 0
- 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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