SOLUTION: sqrt(x+2) + sqrt(3x+4) = 2

Question 162354: sqrt(x+2) + sqrt(3x+4) = 2
Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!

multiply both sides by to get

since
this equation becomes

which is the same as

multiplying out on the right hand side of the equation and it becomes

this becomes

which becomes

subtracting 8 and 3*x from both sides of the equation and it becomes

multiplying both sides of the eqution by (-1) and it becomes

squaring both sides of the equation and it becomes

which becomes

subtracting 48*x and 64 from both sides of the equation and it becomes

dividing both sides of the equation by 4 and it becomes

this factors out into

x is either 7 or -1.
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substituting in original equation, x = 7 doesn't work, but x = -1 does.
answer is x = -1.

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