SOLUTION: 3 + sqrt 3x + 1 = x

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Question 139453: 3 + sqrt 3x + 1 = x
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
3+sqrt3x+1=x
sqrt3x=x-4
now square both sides:
3x=(x-4)^2
3x=x^2-8x+16
x^2-8x-3x+16=0
x^2-11x+16=0
usingthe quasratig equation:x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ we get.
x=(11+-sqrt[-11^2-4*1*16])/2*1
x=(11+-sqrt[121-64])/2
x=(11+-sqrt57)/2
x=(11+-7.55)/2
x=11+7.55)/2
x=18.55/2
x=9.275 answer.
x=(11-7.55)/2
x=3.45/2
x=1.725 answer.