quadratic equation help

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englsinger_J

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I have to solve the problem {the square root of (3x+4)=2+ the square root of x}. How do I solve this algebraically? I know that to get rid of the square root over the (3x+4), I have to square the other side, but do I square the entire side or just 2 and the square root of x?
 
Do you think it would be feasible to work with (2+ square root of x)^2? :wink:
 
englsinger_J said:
I have to solve the problem {the square root of (3x+4)=2+ the square root of x}. How do I solve this algebraically? I know that to get rid of the square root over the (3x+4), I have to square the other side, but do I square the entire side or just 2 and the square root of x?
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You must square the entire side: \(\displaystyle \mbox{(2 + \sqrt{x})^2}\).

At the end, check each solution works in the original equation.
 
Perhaps you could digress. In the context of the question being asked by englsinger_J, your question makes very little sense.
 
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