SOLUTION: Solve for X (sqrt x+4) - (sqrt x-1) =1

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Question 1193096: Solve for X
(sqrt x+4) - (sqrt x-1) =1
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

assuming you have
sqrt%28+x%2B4%29+-+sqrt+%28x-1%29+=1++

sqrt%28+x%2B4%29+=sqrt+%28x-1%29+%2B1+ .......square both sides

%28sqrt%28+x%2B4%29+%29%5E2=%28sqrt+%28x-1%29+%2B1+%29%5E2

x%2B4=%28sqrt+%28x-1%29%29%5E2%2B2sqrt+%28x-1%29+%2B1+

+x%2B4=x-1%2B2sqrt+%28x-1%29+%2B1+

x%2B4-x%2B1-1=2sqrt+%28x-1%29

4=2sqrt+%28x-1%29

sqrt+%28x-1%29=4%2F2

sqrt+%28x-1%29=2.......square both sides

%28sqrt+%28x-1%29%29%5E2=2%5E2

x-1=4

x=5