SOLUTION: solve: square root of 2x+5 - square root of 3x-2 = 1

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Question 47785This question is from textbook Intermediate Algebra with Applications
: solve: square root of 2x+5 - square root of 3x-2 = 1 This question is from textbook Intermediate Algebra with Applications

Answer by checkley71(8403) About Me  (Show Source):
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sqrt(2x+5)-sqrt(3x-2)=1 or squaring all terms we get 2x+5-3x+2=1 or
-x=-6 or x=6
proof sqrt (2*6+5)-sqrt(3*6-2=1 or sqrt(12+5)-sqrt(3*6-2)=1 or
sqrt17-sqrt16=1 squaring all terms we get 17-16=1 or 1=1