SOLUTION: Solve (x-1)½ + (x-6)½ = 7

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Question 1165928: Solve (x-1)½ + (x-6)½ = 7
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
+%28x-1%29%2F2+%2B+%28x-6%29%2F2+=+7+%7D%7D%5D%0D%0A%7B%7B%7B+%28x-1%29+%2B+%28x-6%29+=+14+
+2x+-+7+=+14+
+x+=+21%2F2+


Check:
(ok)




I wasn't sure if the 1/2's were supposed to be exponents (?) If so, that's a different solution:

multiply both sides by
(and using %28a%2Bb%29%28a-b%29+=+a%5E2-b%5E2+...)




Add this to the very first equation to get:



and x = 15.877551 (approx.)