If roots of x² - 5x + 6 = 0 are modified by adding 2 to each root, the new equation is?
- x² - 7x + 10 = 0
- x² - 5x + 10 = 0
- x² - 9x + 20 = 0
- None of these
Explanation
Old equation: x² - 5x + 6 = 0
Old roots: (x - 2)(x - 3) = 0 → roots are 2 and 3
Add 2 to each root
New roots: 2 + 2 = 4 and 3 + 2 = 5
New equation: (x - 4)(x - 5) = 0
x² - 5x - 4x + 20 = 0
x² - 9x + 20 = 0
Last verified on 04-05-2026
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