Algebra

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I have four problems I'm having trouble with. I need to solve the equations by completing the square.

1) w^2 - 5w = 11/4

2) z^2 + 11z = -21/4

3) k^2 - 8k - 7 = 0

4) v^2 - 7v + 1 = 0

  • Algebra -

    all 4 are of the easy type with the coefficient of the square terms as 1
    remember to take half of the middle term, then square it, and add it to both sides

    w^2 - 5w + 25/4 = 11/4 + 25/4
    (w-5/2)^2 = 36/4
    w-5/2 = ± 6/2 = ± 3
    w = 5/2 ± 3
    = 11/2 or -1/2

    try the others in the same way

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