SOLUTION: Good Morning. I am trying to figure out how to complete the square for this problem but I am having no luck My problem is: 3x^2-13x+4=0. I know I have to divide each term by 3 whi

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Question 995565: Good Morning. I am trying to figure out how to complete the square for this problem but I am having no luck My problem is:
3x^2-13x+4=0. I know I have to divide each term by 3 which would give me:
x^2-13/3x+4/3=0. Then I subtract 4/3 on both sides to get x^2-13/3x=-4/3. I multiply -13/3xand 1/2 to get -13/6x then I square it to get 169/36 which I add to both sides of the equation.
x^2-13/3x+169/36=-4/3+169/36. Here is where I'm having a hard time and are looking for your help.

Found 2 solutions by Timnewman, MathTherapy:
Answer by Timnewman(323) About Me  (Show Source):
You can put this solution on YOUR website!
3x²-13x+4=0
x²-13x/3+4/3=0
x²-13x/3=-4/3
take the half of 13/3,square it,then add it to bothside
From the above,half of 13/3 is 26/3 then it's square is 676/9,Then add 676/9 in bothside of the equation,
x²-13x/3+676/9=676/9-4/3
(x-26/3)²=(676-12)/9
(x-26/3)²=664/9
solve it from here!!!

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Good Morning. I am trying to figure out how to complete the square for this problem but I am having no luck My problem is:
3x^2-13x+4=0. I know I have to divide each term by 3 which would give me:
x^2-13/3x+4/3=0. Then I subtract 4/3 on both sides to get x^2-13/3x=-4/3. I multiply -13/3xand 1/2 to get -13/6x then I square it to get 169/36 which I add to both sides of the equation.
x^2-13/3x+169/36=-4/3+169/36. Here is where I'm having a hard time and are looking for your help.
x%5E2+-+%2813%2F3%29x+%2B+%28-+13%2F6%29%5E2+=+-+4%2F3+%2B+%28-+13%2F6%29%5E2 ------ This is where you are, Great job in getting to this point!
%28x+-+13%2F6%29%5E2+=+-+4%2F3+%2B+169%2F36 ------ Factoring left-side of equation
%28x+-+13%2F6%29%5E2+=+-+48%2F36+%2B+169%2F36 ----- Changing fraction on right to a common denominator, 36
%28x+-+13%2F6%29%5E2+=+121%2F36 ----------- Summing right side of equation
sqrt%28%28x+-+13%2F6%29%5E2%29+=+%22+%22%2B-sqrt%28121%2F36%29 ----- Taking the square root of both sides
x+-+13%2F6+=+%22+%22%2B-+11%2F6
x+=+13%2F6+%2B-+11%2F6 ------- Adding 13%2F6 to both sides
x+=+13%2F6+%2B+11%2F6 OR x+=+13%2F6+-+11%2F6
x+=+24%2F6 OR x+=+2%2F6
highlight_green%28system%28x+=+4_OR%2Cx+=+1%2F3%29%29