SOLUTION: Can I get your help? My problem is this: {{{3x=1+sqrt(4x^2+x+7)}}} I started by subtracting the 1 from both sides which gave me {{{3x-1=sqrt(4x^2+x+7)}}} Now, would I add 4x^

Question 992872: Can I get your help? My problem is this:

I started by subtracting the 1 from both sides which gave me Now, would I add 4x^2 and x which would give me Now my equation looks like this: From here I would square both sides
I get 9x^2+3x-1-3x+1-1=5x^3+7. If I continue, 3x-1-3x+1 would cancel out which makes the equation look like this:
9x^2-1=5x^3+7. I subtract 9x^2 from both sides and I subtract 7 from both sides so I end up with -8=-4x. Then I divide by -4 and my answer would be 2. Can you verify to see if I made a mistake?
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Can I get your help? My problem is this:

I started by subtracting the 1 from both sides which gave me
Now, would I add 4x^2 and x which would give me *********
No, you can't do that. You can't add x^2 terms and x terms.
****************************************************************
--------------

Square both sides

etc
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
3x=1+sqrt(4x^2+x+7)
-----
3x-1 = sqrt(4x^2+x+7)
---
Square both sides to get:
9x^2 -6x + 1 = 4x^2 + x + 7
----
5x^2 - 7x - 6 = 0
-----
5x^2 - 10x+3x - 6 = 0
---
5x(x-2)+3(x-2) = 0
-----
(x-2)(5x+3) = 0
-----
x = 2 or x = -3/5
-----
Cheers,
Stan H.
-----------
RELATED QUESTIONS
Hello! My problem is finding all real solutions with the following equation... (answered by Fombitz,stanbon)
Here is my problem. [SQRT(x + 7)] - 2[SQRT(x)] =-2 OR √(x + 7) -... (answered by lwsshak3)
x-2*sqrt(x-3)=3 solve for zero... I subtract x from both sides which =... (answered by stanbon)
I am trying to solve an equation in which a radical is = to a variable expression but I... (answered by josgarithmetic)
Can you please help me solve this radical equaqtion? {{{sqrt(x-1)+x=3}}} This problem... (answered by Edwin McCravy)
Hello! I have tried working this problem but when I checked my answer it did not work... (answered by stanbon)
x-2*sqrt(x-3)=3 solve for zero... I subtract x from both sides which =... (answered by Fombitz,jim_thompson5910)
When it comes to solving Rational Functions, I get lost when I have a Sum and Product... (answered by rwm)
Hi my name is Brandie. My teacher gave me a math problem to day and I can't get it. The... (answered by ankor@dixie-net.com,stanbon)