Which of the following constants can be added to x^2 - 6x to form a perfect square trinomial?

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emilydenise15 emilydenise15

10-11-2015
Mathematics

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Which of the following constants can be added to x^2 - 6x to form a perfect square trinomial?

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Panoyin Panoyin · Answer 1 · 2015-11-11T14:12:03+01:00

Panoyin Panoyin

11-11-2015

The constant that is to form a perfect square trinomial is 9.

x² - 6x + 9
x² - 3x - 3x + 9
x(x) - x(3) - 3(x) + 3(3)
x(x - 3) - 3(x - 3)
(x - 3)(x - 3)
(x - 3)²

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