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QUESTION

How do you solve ##sqrt(x/10) = sqrt(3x-58)##?

##color(blue)(x=20##

##sqrt(x/10) = sqrt(3x-58)##

Squaring both sides eliminates the square root.

##(sqrt(x/10) )^2= (sqrt(3x-58))^2##

We get:

##x/10 = 3x -58##

##x= (3x -58)* 10##

##x= 30x -580##

##580 = 30x -x##

##29x= 580##

##color(blue)(x=20##

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