If roots of x² - 10x + 21 = 0 are decreased by 1, new equation is?
- x² - 8x + 12 = 0
- x² - 10x + 12 = 0
- x² - 12x + 12 = 0
- None of these
Explanation
Original: x² - 10x + 21 = 0
Substitute x → x + 1:
(x + 1)² - 10(x + 1) + 21 = 0
x² + 2x + 1 - 10x - 10 + 21 = 0
x² - 8x + 12 = 0
Last verified on 25-05-2026
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