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22 February, 07:21

Factor the following equation to find its zeros. y = x² - 36

cannot be factored

6, - 6

-6, - 6

6, 6

+4
Answers (1)
  1. 22 February, 09:59
    0
    x = 6, x = - 6

    Step-by-step explanation:

    Given

    y = x² - 36

    To find the zeros let y = 0, that is

    x² - 36 = 0 ← x² - 36 is a difference of squares and factors in general as

    a² - b² = (a - b) (a + b), thus

    x² - 36 = 0

    x² - 6² = 0

    (x - 6) (x + 6) = 0 ← in factored form

    Equate each factor to zero and solve for x

    x - 6 = 0 ⇒ x = 6

    x + 6 = 0 ⇒ x = - 6
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