You can put this solution on YOUR website! solve sqrt(x) -sqrt(x-5) = 1
add sqrt(x-5) to both sides of =
sqrt(x) = (sqrt(x-5)+1)
now square both sides of =
x = x-5 +2*sqrt(x-5) +1
subtract x from both sides of =
0 = -4 +2*sqrt(x-5)
add -4 to both sides of =
4 = 2*sqrt(x-5)
divide both sides of = by 2
2 = sqrt(x-5)
square both sides of =
4 = x-5
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x = 9 is the answer!
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check in original equation
sqrt(9) - sqrt(9-5) = 1
3 - 2 = 1
our answer checks!
