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16 October, 21:54

Solve the equation

x^2 + 4x - 7

By completing the square

give answer correct to two decimal places.

(p. s the answer is not - 5.32 or 1.32)

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Answers (1)
  1. 16 October, 21:55
    0
    x = 1.32, - 5.32

    Step-by-step explanation:

    x^2 + 4x - 7

    Set equal to zero

    x^2 + 4x - 7 = 0

    Add 7 to each side

    x^2 + 4x = 7

    Take the coefficient of x and divide by 2

    4/2

    Square it

    2^2 = 4

    Add to each side

    x^2+4x+4 = 7+4

    (x+2) ^2 = 11

    Take the square root of each side

    x+2 = ±sqrt (11)

    Subtract 2 from each side

    x = - 2 ±sqrt (11)

    x=1.31662

    x=-5.31662

    To 2 decimal places

    x = 1.32, - 5.32
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