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23 August, 08:38

Factorise x2-3x-10

x2 is x squared

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Answers (2)
  1. 23 August, 11:30
    0
    X² - 3x - 10 = 0

    (x - 5) (x + 2) = 0

    x - 5 = 0 ⇒ x = 5

    x + 2 = 0 ⇒ x = - 2

    (x - 5) (x + 2) = 0

    x (x + 2) - 5 (x + 2) = 0

    x² + 2x - 5x - 10 = 0

    x² - 3x - 10 = 0

    x² ⇒ is x * x

    Factors of 10 are:

    1 x 10

    2 x 5

    -3 is indicative whether the factors will use a positive or negative sign.

    to produce - 3 the factors of 10 will be 2 and - 5.
  2. 23 August, 12:05
    0
    X²-3x-10

    1) solve this equation:

    x²-3x-10=0

    x=[3⁺₋√ (9+40) ] / 2 = (3⁺₋7) / 2

    We have two solutions:

    x₁ = (3-7) / 2=-4/2=-2 ⇒ (x+2)

    x₂ = (3+7) = 10/2=5 ⇒ (x-5)

    Therefore:

    x²-3x-10 = (x+2) (x-5)
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