Thursday

July 31, 2014

July 31, 2014

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

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

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

**Related Questions**

Completing the square - Please show the procedure for answering this quadratic ...

Algrebra 1 - x2(squared)-12=-x solve by completing the square

Algebra 2 - Completing the square method allows you to solve any quadratic ...

math - i need to solve this equation by completing the square: x^2-14x+1=0 i don...

Math - The following are the last two problems on my test review. I am trying to...

Math - I need help with these three problems. They are on a Study Guide and I ...

math - I need help with these three problems. They are on a Study Guide and I ...

Math - I need help with these three problems. They are on a Study Guide and I ...

Math - urgent - When solving for x by completing the square as in the equation 3...

general - I really don't like the fact that you guys are skipping so many ...