SOLUTION: use the square root method to find solutions for the equation (3x-2)^2=-9

Question 134016: use the square root method to find solutions for the equation
(3x-2)^2=-9
Found 3 solutions by checkley71, snwbrdfrk, Earlsdon:
Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
(3X-2)^2=-9
3X-2=3i
3X=2+3i
X=(2+3i)/3 OR 2/3+i ANSWER.

Answer by snwbrdfrk(10)   (Show Source): You can put this solution on YOUR website!
i dont know if you have worked with imaginary numbers or not so if this isnt what your looking for than im sorry
but to solve the equation (3x-2)^2=-9 the first thing you need to do is put the square root over the numbers so it would be
square root of(3x-2)^2= square root of -9
the square root of (3x-2)^2 cancels out because there is a square root and a power of 2. the equation should now look like this
3x-2=square root of -9
this is where the imaginary number comes in
since you cant take the square root of a negative number you have to replace the number with an i.
so the square root of -9 would now be 3i.
now the equation looks like this.
3x-2=3i
now to get the x by itself you now need to add 2 to both sides.
3x-2+2=3i+2
3x=3i+2
now we need to make the 3 go to the other side and since it is connected to the x we need to divide instead of add or subtract.
3x/3=(3i+2)/3
the three cancels
x=(3i+2)/3
im not totally positive if the 3 cancels out on the (3i+2)/3 part because its on an imaginary number but i think it does. im not going to do it because its not wrong the way i have it, but it might be able to be reduced. so ask your teacher if you want to. im sorry though.
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Solve for x:
Take the square root of both sides.
or Add 2 to both sides.
Divide both sides by 3.
which can be written as:

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