SOLUTION: Find all real solutions to the equation. square root x+4 - 2square root x-1 = -1

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Question 77187: Find all real solutions to the equation.
square root x+4 - 2square root x-1 = -1
Answer by THANApHD(104) About Me  (Show Source):
You can put this solution on YOUR website!
you mean...
sqrt%28x%2B4%29-2sqrt%28x-1%29=-1
sqrt%28x%2B4%29%2B1+=+2sqrt%28x-1%29
%28sqrt%28x%2B4%29%2B1%29%5E2+=+%282sqrt%28x-1%29%29%5E2
x%2B4+%2B+2sqrt%28x%2B4%29+%2B1+=+4%28x-1%29
2sqrt%28x%2B4%29++=+4x-4+-+x-4+-1
sqrt%28x%2B4%29++=+%283x-9%29%2F2+
%28sqrt%28x%2B4%29%29%5E2++=+%28%283x-9%29%2F2%29%5E2+

x%2B4++=+%28%283x-9%29%5E2%29%2F%282%5E2%29+
x%2B4++=+%289x%5E2-54x%2B81%29%2F4+
4x%2B16++=+9x%5E2-54x%2B81+
9x%5E2-58x%2B65++=+0+
9x%5E2-45x-13x%2B65++=+0+
9x%28x-5%29-13%28x-5%29++=+0+
%28x-5%29%289x-13%29++=+0+
so x=5++or+x=13%2F9+=+1.444444+