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19 October, 05:37

Use the zero product property to find the solutions to the equation x2 - x - 6 = 0.

x = - 3 or x = - 2

x = - 3 or x = 2

x = - 2 or x = 3

x = 2 or x = 3

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Answers (1)
  1. 19 October, 05:47
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    X² - x - 6 = 0

    Δ = b² - 4ac = (-1) ² - 4·1· (-6) = 1 + 24 = 25

    x₁ = (-b + √Δ) / (2a) = (1 + √25) / 2·1 = (1+5) / 2 = 6/2 = 3

    x₂ = (-b - √Δ) / (2a) = (1 - √25) / 2·1 = (1-5) / 2 = - 4/2 = - 2

    x=3 or x=-2
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