SOLUTION: sqrt(4x-5)=sqrt(x+9)

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Question 193166: sqrt(4x-5)=sqrt(x+9)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%284x-5%29=sqrt%28x%2B9%29 Start with the given equation.


%28sqrt%284x-5%29%29%5E2=%28sqrt%28x%2B9%29%29%5E2 Square both sides


4x-5=x%2B9 Square the square roots to eliminate them


4x=x%2B9%2B5 Add 5 to both sides.


4x-x=9%2B5 Subtract x from both sides.


3x=9%2B5 Combine like terms on the left side.


3x=14 Combine like terms on the right side.


x=%2814%29%2F%283%29 Divide both sides by 3 to isolate x.


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Answer:

So the answer is x=14%2F3 which approximates to x=4.667.