If roots of x² - 4x + 3 = 0 are squared, new equation is?
- x² - 8x + 16 = 0
- x² - 10x + 9 = 0
- x² - 7x + 12 = 0
- None of these
Explanation
Original: x² - 4x + 3 = 0
Roots: x = 1, x = 3
Square the roots: 1² = 1, 3² = 9
New equation with roots 1 and 9:
(x - 1)(x - 9) = x² - 10x + 9 = 0
Last verified on 07-05-2026
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