#4 sqrt (h + 4) = 4 sqrt (2h - 5)? #solve the radical equations, if possible.

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Answer 1 · 2017-04-13T04:37:47

#h=9#

#4sqrt(h+4)=4sqrt(2h-5)#

Divide through by 4:

#(4sqrt(h+4))/color(red)4=(4sqrt(2h-5))/color(red)4#

#sqrt(h+4)=sqrt(2h-5)#

Square both sides:

#(sqrt(h+4))^color(red)2=(sqrt(2h-5))^color(red)2#

#h+4=2h-5#

#h=9#