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12 October, 07:20

To solve the equation for x by completing the square what equation is equivalent to x^2-x-2=0

here are options for both blanks (The equivalent equation (x-Blank) ^2=Blank

-1/4

1/4

-1/2

1/2

-9/4

9/4

-3/2

3/2

+1
Answers (1)
  1. 12 October, 07:32
    0
    So to complete the square in

    ax^2+bx+c=d form

    make sure a=1

    subtract c from both sides

    take 1/2 of b and square it

    add that to both sides

    factor perfect square

    1x^2-1x-2=0

    a=1

    move c to other side

    add 2 to oth sides

    x^2-1x=2

    take 1/2 of b and square it

    1/2 of - 1=-1/2

    squaer it

    1/4

    add that to both sides

    x^2-1x+1/4=2+1/4

    factor left side

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

    first blank is 1/2

    2+1/4=8/4+1/4=9/4

    blanks are

    1/2 and 9/4
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