If roots of x² - 3x + 2 = 0 are multiplied by 2, new equation is?
- x² - 3x + 2 = 0
- x² - 6x + 8 = 0
- x² - 5x + 6 = 0
- None of these
Explanation
x² - 3x + 2 = 0
This splits as (x - 1)(x - 2) = 0
So the roots are x = 1 and x = 2
If we multiply each root by 2:
1 × 2 = 2
2 × 2 = 4
New roots are 2 and 4
To make the equation with roots 2 and 4:
(x - 2)(x - 4) = 0
x² - 4x - 2x + 8 = 0
x² - 6x + 8 = 0
Last verified on 09-05-2026
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