SOLUTION: My question is 2 + √3x = x/3 Show far I have worked out. Multiply both sides by 3 3(2 + √3x) = x Then expanded bracket out 6 + 3√3x = x D

Algebra.Com
Question 331273: My question is
2 + √3x = x/3
Show far I have worked out.
Multiply both sides by 3
3(2 + √3x) = x
Then expanded bracket out
6 + 3√3x = x
Don't no if I have done correct so far and what to do next.
Any help would be gratefully recieved.

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
My question is
2 + √3x = x/3
Show far I have worked out.
Multiply both sides by 3
3(2 + √3x) = x
Then expanded bracket out
6 + 3√3x = x
That's right so far, continuing
:
subtract 6 from both sides
= x - 6
:
Square both sides
9(3x) = (x-6)^2
27x = x^2 - 12x + 36
:
A quadratic equation
x^2 - 12x - 27x + 36 = 0
x^2 - 39x + 36 = 0
:
This equation requires the quadratic formula

:
In this problem; a=1; b=-39; c=36

:

:

Two solutions

x =
x = 38.054
and

x =
x = .946
:
:
Check both solutions in original equation, only x=38.054 is a valid solution

RELATED QUESTIONS

3√(x-1)=√(3x+3) (answered by Earlsdon)
How do i try and work out a polynomial? The question i have gotten is which one of... (answered by rothauserc)
Here is my problem. [SQRT(x + 7)] - 2[SQRT(x)] =-2 OR √(x + 7) -... (answered by lwsshak3)
Multiply: (5√[2] + 3)(√[2] – 2√[3]) (answered by stanbon,MathLover1)
Multiply: (5√[2] + 3)(√[2] – 2√[3]) (answered by Fombitz)
1. Simplify the rational expression: Please show work x2 – 6x – 7 x2 – 1... (answered by checkley71)
i am asked to multiply (√[3] + 4√[5])(2√[3] –... (answered by checkley77)
√(X-2)=... (answered by funmath)
√x-3 = √x+2 -... (answered by ankor@dixie-net.com)