Question 670704
sqrt(2x-1)=sqrt(x-1)+1
2x-1=(a+1)^2 Square each side; let a=sqrt(x-1)
...=a^2+2a+1
...=x-1+2sqrt(x-1)+1
2x-1=x+2sqrt(x-1)
x-1=2sqrt(x-1)
x^2-2x+1=4(x-1)
...=4x-4
x^2-6x+5=0
(x-5)(x-1)=0
x=5, x=1
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Ed