If roots of x² - 11x + 30 = 0 are increased by 2, new equation is?
- x² - 12x + 56 = 0
- x² - 14x + 56 = 0
- x² - 15x + 56 = 0
- None of these
Explanation
Original equation: x^2 - 11x + 30 = 0
Factor it to find roots:
x^2 - 11x + 30 = (x - 5)(x - 6) = 0
So roots are 5 and 6.
Increase each root by 2:
New roots are 5 + 2 = 7 and 6 + 2 = 8.
New equation with roots 7 and 8 is:
(x - 7)(x - 8) = 0
x^2 - 8x - 7x + 56 = 0
x^2 - 15x + 56 = 0
Last verified on 25-05-2026
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