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

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Question 131903: Solve: sqrt%283x%2B24%29=x%2B2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%283x%2B24%29=x%2B2 Start with the given equation


3x%2B24=%28x%2B2%29%5E2 Square both sides


3x%2B24=x%5E2%2B4x%2B4 Foil


0=x%5E2%2B4x%2B4-3x-24 Subtract 3x from both sides. Subtract 24 from both sides.



0=x%5E2%2Bx-20 Combine like terms



0=%28x%2B5%29%28x-4%29 Factor the right side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
x%2B5=0 or x-4=0

x=-5 or x=4 Now solve for x in each case


So our possible solutions are
x=-5 or x=4


However, if you plug in x=-5, then you wont get a real solution (since you'll have a negative in the square root)



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Answer:

So the only solution is x=4