How do you solve #(5- x ) ^ { \frac { 1} { 2} } = ( \frac { x } { 4} ) ^ { \frac { 1} { 2} }#?

1 Answer
Dec 12, 2016

Rewrite the equation as #sqrt(5-x)=sqrt(x/4)#

Kind of helps with visualizing what needs to be done next.

Square both sides and get rid of that nasty radical.

Then you have:

#5-x=x/4#

Multiply both sides by 4 to get rid of that ridiculous rational function.

#20-4x=4#

Now it looks a little nicer to solve.

#20-4=4x#

#16/4=x#

#x=4#