Algebra

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Can someone help me, I am stuck and do not know how to complete. Maybe my first part is wrong, I don't understand by looking at my example if I am doing it right or not.

Square root Property

2k^2 +144=0

2k^2 +144-144=0-144
2k^2=-144
This is where I am confused
2k=sqrt -144 (?)

  • Algebra -

    2k^2 = -144
    k^2 = -72

    Unless you have studied complex numbers you would stop here and say
    "there is no real solution" since you cannot take the square root of a negative.

    If you studied complex numbers you should know that i = √-1

    so x = √-72
    x = ±6√2 i

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