Algebra
posted 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 +144144=0144
2k^2=144
This is where I am confused
2k=sqrt 144 (?)

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