SOLUTION: 3 + sqrt 3x + 1 = x

Question 139453: 3 + sqrt 3x + 1 = x
Answer by checkley77(12844) (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: 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.

RELATED QUESTIONS
sqrt(x+3)+1=sqrt(3x-2) Solve for... (answered by mananth)

Multiply: sqrt (x)^1/3 (sqrt (3x^2)^1/3 - sqrt... (answered by Theo)

{{{sqrt(3x) - sqrt(3x-5) = 1}}} x =... (answered by alicealc)

Question: sqrt(x)-sqrt(3x-3)=1 My work: sqrt(x)-sqrt(3x-3)=1... (answered by math_tutor2020,ikleyn,MathTherapy)

{{{sqrt(6x+7)-sqrt(3x+3)=1}}} (answered by KMST)

Find all x such that sqrt{3x^2 + 2x + 1} + sqrt{3x^2 + 2x - 3} = 20. (answered by CPhill,ikleyn)

Please help Solve: (sqrt of 2x - 3) = x - 1 Solve: (sqrt of 3x - 3) - (sqrt of x) (answered by MathLover1)

{{{x+sqrt(3x+1)=13}}} (answered by robertb)

n[m(t)] if n(x) = 3x and m(t) = SQRT(t) + 1 A SQRT(3x) + 1 B3[SQRT(t)] CSQRT(t) + (answered by stanbon)