SOLUTION: Solve (z+1)^2 = 2(z^2), for z.

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Question 1160751: Solve (z+1)^2 = 2(z^2), for z.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%28z%2B1%29%5E2+=+2z%5E2
solve for z:
z%5E2%2B2z%2B1+=+2z%5E2
+2z%5E2-z%5E2-2z-1=0
+z%5E2-2z-1=0.....use quadratic formula
z=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a

z=%28-%28-2%29%2B-sqrt%28%28-2%29%5E2-4%2A1%28-1%29%29%29%2F%282%2A1%29

z=%282%2B-sqrt%284%2B4%29%29%2F2
z=%282%2B-sqrt%282%2A4%29%29%2F2
z=%282%2B-2sqrt%282%29%29%2F2
z=%281%2B-sqrt%282%29%29
solutions:
z=1%2Bsqrt%282%29
z=1-sqrt%282%29