Question 536651: 3+sqrt(z-7)=sqrt(z+8)
Answer by nyc_function(2741)   (Show Source):
You can put this solution on YOUR website! 3+sqrt(z-7)=sqrt(z+8)
Square both sides.
(3+sqrt(z-7)^2 = (sqrt(z+8)^2
9 + z - 7 = z + 8
z + 2 = z + 8
At this point, we need to combine like terms. However, when this is done, we can clearly see that z will cancel out.
LOOK:
z - z = 8 - 2
0 = 6
This does not make sense since zero does not = 6.
What is the answer?
The answer, and this happens sometimes with radicals, is NO SOLUTION.
So, there is no solution to this radical equation.
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