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22 April, 11:05

Solve x 2 - 8x + 3 = 0 by completing the square. Which equation is used in the process? A. (x - 4) 2 = 0 B. (x - 4) 2 = 11 C. (x - 4) 2 = 13 D. (x - 4) 2 = 19

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  1. 22 April, 14:17
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    Gruop x terms

    (x²-8x) + 3=0

    take 1/2 of linear coefient and square it

    -8/2=-4, (-4) ^2=16

    add negative and positive inside

    (x²-8x+16-16) + 3=0

    factor perfect square

    ((x-4) ²-16) + 3=0

    expand

    (x-4) ²-16+3=0

    (x-4) ²-13=0

    add 13 both sides

    (x-4) ²=13

    answer is C
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