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24 July, 04:47

Solve the quadratic equation by completing the square.

x^2 + 4x - 9=0

first, choose the appropriate form and fill in the blanks with the correct numbers.

then, solve the equation. if there is more than one solution, separate them with commas.

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  1. 24 July, 05:49
    0
    x = - 2 ±√13

    Step-by-step explanation:

    To complete the square, take the middle term bx and divide it in two. Then take the square.

    x^2 + 4x - 9 has bx = 4x. Take 4/2 = 2. Square 2^2 = 4.

    Now to finish completing the square add 4 to each side.

    x^2 + 4x - 9 = 0

    x^2 + 4x + 4 - 9 = 4

    (x+2) ^2 - 9 = 4

    Add 9 to both sides and take the square root of each side to solve.

    (x+2) ^2 = 13

    (x+2) = ± √13

    x = - 2 ±√13
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