Asked by Bethany
                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 (?)
            
        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 (?)
Answers
                    Answered by
            Reiny
            
    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
    
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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