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4 December, 13:50

Solve by factoring or finding square roots. x^2+2x+1=0

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Answers (2)
  1. 4 December, 14:06
    0
    x = - 1

    Step-by-step explanation:

    We have given a quadratic equation.

    x²+2x+1 = 0

    We have to solve above equation by factoring.

    Split the middle term of above equation so that the sum of two terms should be 2 and the product is 1, we have

    x²+x+x+1 = 0

    Making two groups and taking common, we have

    x (x+1) + 1 (x+1) = 0

    Taking (x+1) as common, we have

    (x+1) (x+1) = 0

    Applying Zero-Product Property to above equation, we have

    x+1 = 0 or x+1 = 0

    x = - 1 or x = - 1

    Both values are same.

    Hence,

    x = - 1 is solution of given equation.
  2. 4 December, 14:20
    0
    x=-1

    Step-by-step explanation:

    x^2+2x+1=0

    What 2 numbers multiply to 1 and add to 2

    1*1 = 1

    1+1=2

    (x+1) (x+1) = 0

    Using the zero product property

    x+1 = 0 x+1 = 0

    x=-1 x=-1

    x=-1
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