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)   (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)   (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.
 ------ This is where you are, Great job in getting to this point!

 ------ Factoring left-side of equation

 ----- Changing fraction on right to a common denominator, 36

 ----------- Summing right side of equation

 ----- Taking the square root of both sides



 ------- Adding  to both sides

		OR	   

         		OR	   

 

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