# completing

1. ### Question on steps in completing the square

if this screen shot does not enlarge here is a link..... https://www.mathsisfun.com/algebra/completing-square.html the formula is at the bottom of the page. My questions has two do with the last two lines of the proof. How is it that 'a' gets pulled out from the equation at the end? Thank you...
2. ### Completing the Square

Hi everyone, I learned about completing the square in high school and only used it in a meaningful way to derive the quadratic formula. Have you ever come across it in finding the answer to some "more advanced" questions or theories in college? Thanks
3. ### completing the square

Hi; I have 4x^2 - 16x + 14 and need to complete the square so... 4(x^2 - 4x) +14 4(x^2 - 4x + 4) +14 -16 4(x - 4)^2 - 2 or do I factor everything by 4 4(x^2 - 4x + 7/2) (4( x^2 - 4x + 4) + 7/2 - 4) (4(x - 2)^2 - 1/2) I'm...
4. ### Rewrite an Equation by Completing the Square

So on a quiz I was given the equation 3x^2+12x+5 and I needed to rewrite it by completing the square. Here's what I did step by step: 1. 3(x^2+4x)+5 2. 3(x^2+4x+4-4)+5 3. 3(x+2)^2-4+5 4. 3(x+2)^2+1 The teacher circled the -4 in line 3 and replaced it with +2, and I can't figure out why/what...
5. ### Completing the Square Question / Issue

I need help understanding why the solution set #35 shows -4x changing from negative to positive. In my mind the -4x should have remained negative in line 2. Line three also confuses me. Shouldn't +5+4 be +5-4? 35) h(x)=-x^2 - 4x + 5 h(x)=-(x^2+4x) + 5 H(x)=-(x^2+4x+4)+5+4...
6. ### Completing the Square Question / Issue

I am hoping that someone will be able to help me with this problem. I don't understand why the solution shows h(x) going from h(x)=-x^2-4x+5 to h(x)=x^2 +4x+5. It seems to me that it should have been h(x)=-(x^2-4x)+5. Why is the added 4 positive in line three? If I add 4 to the solution then...
7. ### Completing the Square in Integration

When is it necessary to complete the square? What would be an example?
8. ### Completing the square

How do I complete the square of x^2 + xy + y^2 = 3?
9. ### Area of Region By Completing the Square

How do I find the area via completing the square method?
10. ### Solving an equation using the quadratic formula and completing the square method

I used both methods on the same equation, but I got different answers. The one on the left is the quadratic equation while the one on the right is completing the square. Can anyone spot my mistake? Thanks!
11. ### How do you solve a quadratic equation by completing the square if the x coeff is odd

Hi guys basically I'm trying to solve the following equation by completing the square... x2-3x-5=0 However, when I try and form the square and complete it I seem to run into trouble (x-1.5)(x-1.5)=x2-3x+2.25 (x-1.5)2-7.25=0 (x-1.5)2=7.25 x-1.5= (root 29) divided by 2 Then I get...
12. ### AHHHH help! completing the square

So I have a problem that I cannot figure out for crap. Please walk through by COMPLETING THE SQUARE and getting what x equals. 4n^2+12+5=0 I know its (2n+1)(2n+5) but I need to know how to do it by completing the square so my first thing was 4n^2+12+36=31.
13. ### Completing the square with fraction as coefficient of x^2

Hi! Complete the square for \frac12x^2-x+3 \frac{-2}{2(1)}\,=\,1 \frac12(x^2 - 2x + 1 - 1) + 3 \frac12(x-1)^2 - 2
14. ### Completing the square

Hi! Apparently this is wrong, how do I get the correct form? Complete the square for y = -x^2-2x \frac{-2}{2(-1)} = 1 -(x^2-2x) = -(x^2-2x+1)-1 -(x+1)^2-1
15. ### Completing the Square

Hey i am attempting to CTS 4x2 +24x-18=0 i divide by four to make the a coefficient zero but then get lost at the 18/4 and dont know what do with that. Any help is appreciated
16. ### Completing the square

Hi, Please help me understand an exam question I had last semester. I know how to find the solution if I could use b^2 = 4ac but I wasn't allowed to use that method and with completing the square, I would normally put the equation in unity, but it already is so I can miss that step, then take...
17. ### Completing the square annoying problem

So I wrote a test last Friday and the question was to complete the square which I know how to do but they gave me this crazy equation 5x2 = -x 5x2 + x = 0 (x2 + x + x/5/2) - x/5/2 = 0 (x2 + x/5 + x/5/2) = x/5/2 this is where I got stuck
18. ### Completing the square

25x^2-100x+4y^2=0 Ok I dont really know how to start out, I can complete the square with one variable just two variables throw me off.
19. ### Solving a quadratic equation by completing the square

Once the middle term is not an even number I get very confused. This is what I have so far: x^2 + 5x + 5 = 0 x^2 + 5x + (5/2)^2 = -5 = (5/2)^2 (x + 5/2)^2 = -5 + 25/4 (x + 5/2) = -20/4 + 25/4 = 5/4 I don't know if I am on the right track or doing completely wrong.
20. ### Hi, need help with completing the square

Hi I'm Harvey in London and I'm back at college after almost two decades of no academic studies and have my 1st assignment due in a week. I've managed to get all the questions answered but have been struggling with a particular on completing the square to solver a quadratic and have two issues...