Posted by **lisa** on Thursday, November 2, 2006 at 11:19pm.

it is called completing the square

here is the equation 4x^2-4x+1=9 if anyone can help me please do okay i really need ot understand this

4x^2-4x+1=9

**Move the numbers to the other side.
**

4x^2 -4x = 9-1

4x^2 -4x = 8

Now factor out 4 to make things easier.

x^2 -x =2 but remember we have all of that multiplied by 4.

The completed square goes where I place the Y.

x^2 - x +Y = 2 and to keep everything equal we must add Y to the right side, also.

x^2 - x + Y = 2 + Y

To determine what number completes the square, take 1/2 the x term and square it. 1/2 of 1 is 1/2 and 1/2 squared is 1/4. Now add 1/4 to both sides like this.

x^2 - x + 1/4 = 2 + 1/4 = 2.25

Now factor the left side. It is a perfect square now so it will be

(x - 1/2)^2 = 2.25

Now take the square root of both sides and solve for x. I hope this helps.

solving polynomial long division
## Answer this Question

## Related Questions

- math dealing with varibles - solve this problem S-46=14 is it... a)34 b)31 c)32 ...
- Algebra - Which of the following statements is true? A. Any quadratic equation ...
- Math - A magic square is a square of numbers with each row, column, and diagonal...
- math, algebra - Problem: A formula for a football player's rushing average r ...
- Completing the square - Please show the procedure for answering this quadratic ...
- algebra - I cant get this one nither I tried like 4 times to get right answer. ...
- Algebra - I don't understand how to do this problems: Solve for the variable r, ...
- Algrebra 1 - x2(squared)-12=-x solve by completing the square
- math,help,algebra I - I need help can someone help me get unstuck and let me ...
- math/algebra - I have a triangle one side = 3 side 2 = square root5 - square ...