Completing The Square Calculator

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Home > Algebra calculators > Completing the square calculator

Method and examples

Method 1. Completing the square for quadratic equation 2. Determining if the polynomial is a perfect square 3. Find the missing term in a perfect square trinomial

Completing the square for quadratic equation `9x^2+6x+1=9(x+1/3)^2`

1. Completing the square for quadratic equation

`3x^2+5x+2`
`9x^2+6x+1`
`x^2+6x+9`

SolutionHelp

Solution

Solution provided by AtoZmath.com

Completing the square calculator

1. Completing the square for quadratic equation

1. `3x^2+5x+2`

2. `9x^2+6x+1`

3. `x^2+6x+9` 2. Determining if the polynomial is a perfect square

1. `4x^2 + 4x + 4`

2. `x^2 - 4xy + 4y^2`

3. `30xy - 25x^2y^2 + 9` 3. Find the missing term in a perfect square trinomial

1. `x^2` + ____ + 4

2. `9x^2` - ____ + 16

3. ____ + `12x^2` + 9

4. `49x^2` + 56 xy + ____

5. `25x^2` - ____ + `121y^2`

6. `9x^2` + ____ + `y^2`

7. `x^4y^2` - `10x^2yz` + ____

Example1. Convert the given equation `x^2+6x+9` into perfect square form Solution:`x^2+6x+9``=1 (x^2+6x+9)`The coefficient of the x is `6`, so now we divide this by 2 : `(6 -: 2 = 3)`and square it `(3)^2=9`. So we add and subtract `9``=1( x + 3 )^2`