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x+6=sqaure root 18+3x+x^2
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\[x+6=\sqrt{18+3x+x ^{2}}\]
solve the equation for x. if necessary round your answer to two decimal places.
I would square both sides
Rearrange the equation \[\sqrt{x^2 +3x+18} = x+6\] Square both sides\[x^2 +3x+18 = (x+6)^2\]\[x^2 +3x+18 = x^2 + 12x + 36\] Can you do the rest?
i just put them into factors right?
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in this case, first combine *like terms*
Like what "phi" said, combine the like terms. Here, the x squared cancel each other out. \[x^2 - x^2 = 0\]
ok one moment
x=-2 ?
Correct!
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yes, but whenever you get this type of problem check that the answer works in the original equation (sometimes it won't!)
ok, thanks guys!
No problem :)
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