SOLUTION: sqrt(x+1)+1 = sqrt(2x)
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Algebra: Radicals -- complicated equations involving roots
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Question 934621
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sqrt(x+1)+1 = sqrt(2x)
Answer by
mananth(16946)
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sqrt(x+1)+1 = sqrt(2x)
sqrt(x+1)= sqrt(2x)-1
square both sides
x+1 = 2x+2sqrt(2x)+1
x-2x= 2sqrt(2x)
-x= 2sqrt(2x)
square
x^2=4*2x
x^2=8x
x=8