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Compgroupmail
 3 years ago
help solve 1/2X=1+sqrt(x2)
Compgroupmail
 3 years ago
help solve 1/2X=1+sqrt(x2)

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Compgroupmail
 3 years ago
Best ResponseYou've already chosen the best response.0correction \[\frac{ 1 }{ 2 }x=1 +\sqrt{x+2}\]

SheldonEinstein
 3 years ago
Best ResponseYou've already chosen the best response.1What you tried yet @Compgroupmail ?

Compgroupmail
 3 years ago
Best ResponseYou've already chosen the best response.0I tried to bring it to the power by \[\frac{ 1 }{ 4 }x=1+(x+2)\] /is this correct?

SheldonEinstein
 3 years ago
Best ResponseYou've already chosen the best response.1see (a+b)^2 is NOT equal to a^2 + b^2 only. \[\large{(\frac{1X}{2})^2 = (1 + \sqrt{x2})^2 }\] \[\large{\frac{x^2}{4} = 1 + x2  2\sqrt{x2} }\]

SheldonEinstein
 3 years ago
Best ResponseYou've already chosen the best response.1Oh wait in your corrected question it is x+2 not x2 so it will be : \[\large{\frac{x} = 1+x2 2\sqrt{x+2}}\]

SheldonEinstein
 3 years ago
Best ResponseYou've already chosen the best response.1\[\large{\frac{x^2}{4} = 1+x2 2\sqrt{x+2}}\]

Compgroupmail
 3 years ago
Best ResponseYou've already chosen the best response.0ok but I still don't understand how you broke it down to that. Can we go through it step by step?

SheldonEinstein
 3 years ago
Best ResponseYou've already chosen the best response.1Oh! Sorry I think I confused you, yes why not... so do you know the identity of (a+b)^2 = ?

SheldonEinstein
 3 years ago
Best ResponseYou've already chosen the best response.1Right! so in RHS (Right hand side) we have : 1 + sqrt{x+2} , correct?

Compgroupmail
 3 years ago
Best ResponseYou've already chosen the best response.0left side of equation \[(\frac{ 1 }{ 2 }x)^2= \frac{ 1 }{ 4 }x\]. Correct?

Compgroupmail
 3 years ago
Best ResponseYou've already chosen the best response.0right. That is the right hand side. What's next?

SheldonEinstein
 3 years ago
Best ResponseYou've already chosen the best response.1Yes , so square the right hand side ... that is : \[\large{( \sqrt{x+2}  1 )^2 }\] Can you square that?

Compgroupmail
 3 years ago
Best ResponseYou've already chosen the best response.0no. Not 100% how to do it. That's what's messing me up.

SheldonEinstein
 3 years ago
Best ResponseYou've already chosen the best response.1Wait for 1 minute, I am opening google chrome as IE is quite slow

Algebraic!
 3 years ago
Best ResponseYou've already chosen the best response.2add 1 to both sides and square both sides \[(\frac{ x }{ 2 } +1)^2 = x +2\]

Algebraic!
 3 years ago
Best ResponseYou've already chosen the best response.2\[ \frac{ x^2 }{4 } +x +1 = x+2\]

Compgroupmail
 3 years ago
Best ResponseYou've already chosen the best response.0ahh. I understand now :) THanks!
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