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5.5CompletingtheSquareandVertexFormnotes.notebook October23,2015 Warm up: 1. Writeinvertexform. 2. Findthevalueof “b “thatwillmake aperfectsquare. Thenfindthevalueofthe trinomial. 1 5.5CompletingtheSquareandVertexFormnotes.notebook

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How to fill out 55 completing the square

01

First, identify the given quadratic equation. Let's say we have the equation 55x^2 + bx + c = 0.

02

Next, make sure the coefficient of x^2 is 1. If it's not already, divide the entire equation by 55 to simplify it.

03

After that, rearrange the equation so that the x terms are on one side and the constant term is on the other side.

04

Now, take half of the coefficient of x and square it. Let's call this value "k".

05

Add and subtract k inside the parentheses of the quadratic equation. The equation becomes 55x^2 + bx + k - k + c = 0.

06

The first three terms inside the parentheses can be rewritten as a perfect square trinomial: (sqrt(55)x + sqrt(k))^2.

07

Simplify the equation to 55x^2 + bx + k - k + c = (sqrt(55)x + sqrt(k))^2 - k + c.

08

Finally, simplify the equation further by combining like terms and solving for x. This will give you the completed square form of the original equation.

09

Completing the square is a technique used in algebra to solve quadratic equations or to convert them into a different form. It is usually applied by students studying quadratic equations or in mathematical problem-solving contexts where quadratic equations are involved.

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What is 55 completing the square?

55 completing the square refers to a mathematical technique used to rewrite quadratic expressions in the form of (x-h)^2 + k.

Who is required to file 55 completing the square?

55 completing the square is not something that needs to be filed, it is a mathematical concept.

How to fill out 55 completing the square?

To fill out 55 completing the square, you need to follow the steps to rewrite a quadratic expression in the standard form (x-h)^2 + k.

What is the purpose of 55 completing the square?

The purpose of completing the square is to rewrite quadratic expressions in a form that allows for easier analysis and solving.

What information must be reported on 55 completing the square?

The information reported when completing the square includes the quadratic expression, the values of h and k, and the final rewritten form.

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