SOLUTION: Solve: {{{sqrt(3x+24)=x+2}}}

Question 131903: Solve:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Square both sides

Foil

Subtract 3x from both sides. Subtract 24 from both sides.

Combine like terms

Factor the right side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or Now solve for x in each case

So our possible solutions are
or

However, if you plug in , then you wont get a real solution (since you'll have a negative in the square root)

---------------------------------------------

Answer:

So the only solution is

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