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20 February, 15:53

Find the roots of the following equations.

a) 4x+9=34

b) (x-4) (x+2) = 0

c) 2x^2-6x+4=0

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  1. 20 February, 16:06
    0
    A. 4x + 9 = 34

    - 9 - 9

    4x = 25

    4 4

    x = 6.25

    B. (x - 4) (x + 2) = 0

    x - 4 = 0 U x + 2 = 0

    + 4 + 4 - 2 - 2

    x = 4 x = - 2

    C. 2x² - 6x + 4 = 0

    2 (x²) - 2 (3x) + 2 (2) = 0

    2 (x² - 3x + 2) = 0

    2 2

    x² - 3x + 2 = 0

    x = - (-3) + / - √ ((-3) ² - 4 (1) (2))

    2 (1)

    x = 3 + / - √ (9 - 8)

    2

    x = 3 + / - √ (1)

    2

    x = 3 + / - 1

    2

    x = 3 + 1 U x = 3 - 1

    2 2

    x = 4 x = 2

    2 2

    x = 2 x = 1
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