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9 November, 21:56

Transform the polynomial into a perfect square trinomial to solve

x^2-4x=5

a) {-5,13}

b) {-7,11}

c) {1,7}

d) {-1,5}

+5
Answers (1)
  1. 9 November, 22:19
    0
    X² - 4x = 5 ⇒ x² - 4x - 5 = 0

    x² ⇒ x * x

    -5 ⇒ - 5 * 1

    -4 ⇒ - 5 + 1

    (x + 1) (x - 5) = x (x-5) + 1 (x-5)

    x² - 5x + 1x - 5 = x² - 4x - 5

    x + 1 = 0

    x = - 1

    x - 5 = 0

    x = 5

    y = x² - 4x - 5

    y = - 1² - 4 (-1) - 5

    y = 1 + 4 - 5

    y = 5 - 5

    y = 0

    y = x² - 4x - 5

    y = 5² - 4 (5) - 5

    y = 25 - 20 - 5

    y = 0
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