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10 July, 01:17

Rewrite the function by completing the square.

f (x) = x2 + x - 30

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  1. 10 July, 03:48
    0
    x = 5 or x = - 6

    Step-by-step explanation:

    x² + x - 30 = 0

    a = 1

    b = 1

    c = - 30

    Now,

    x² + x - 30 = 0

    x² + x + (1/2*1) ² - (1/2*1) ² - 30 = 0

    x² + x + (1/2) ² - (1/4) - 30 = 0

    (x + 1/2) ² - 1/4 - 30 = 0

    (x + 1/2) ² - 1 - 120/4 = 0

    (x + 1/2) ² - 121/4 = 0

    (x + 1/2) ² = 121/4

    (x + 1/2) = + -√121/4

    (x + 1/2) = + - 11/2

    x + 1/2 = + - 11/2

    x = - 1/2 + - 11/2

    x = - 1/2 + 11/2 or x = - 1/2 - 11/2

    x = - 1+11/2 or x = - 1 - 11/2

    x = 10/2 or x = - 12/2

    x = 5 or x = - 6
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