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Completing the Square

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Completing the Square, a selection of answers from the Dr. Math archives.

Three Ways to Solve Quadratic Equations
How do I solve x^2 + 4x + 2 = 0 ?

Completing the Square to Solve Quadratic Equations
Steps for solving quadratic equations.

Completing the Square
Please explain 2x^2 = x + 5.

Complete the Square and Factor
How do you complete the square? Can you use this to factor polynomials?

Completing the Square: How Does It Work?
Can you explain why completing the square works? How exactly do you do it?

Completing the Square: a Diagram
Show x^2 + 3x using a diagram.

Completing the Square of a Polynomial
How do you complete the square of a polynomial?

Factoring Quadratics Without Guessing
When factoring quadratic equations, do you always have to use guess and check, or is there another way to do it?

Geometrically Completing the Square
What are the steps for geometrically completing the square?

Completing the Square to Solve Two Equations
I have to solve two equations by completing the square...

Translating Parabolas and Completing the Square
Parabolas translated from the origin, and standard equations. State the coordinates of the vertex, and sketch the graph of y^2+8y+8x-8=0.

Rule for Completing the Square
Which expression should be placed in each set of parentheses in order to solve the equation by completing the square? x^2+6x+(?)=15+(?)...

Completing the Square: Alternate Method
Instead of dividing by the coefficient of the quadratic term, I multiply the equation to get a perfect square coefficient for the quadratic term...

Factoring Trinomials - Difference of Two Squares
How do I factor a perfectly square trinomial and a quadratic trinomial?

Completing the Square in Vertex Form
Put y = 10x^2 + 10x + 1 into vertex form (y-k = a(x-h)^2.

Complete This Square: x^2 + y^2 - 6x + 2 = 0
I thought completing the square only involved quadratic functions, such as f(x) = ax^2 + bx + c = 0. This question relates to the equation of a circle...

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