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Completing the Square

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Term
Definition
Quadratic Equation   An equation that can be written in the form of ax^2+bx+c=0 where a, b and c are all real numbers and a is not 0.  
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Second-Degree Equation   Another term for Quadratic Equation  
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Square Root Property   If b is a real number and if a^2=b then a = +/- b^1/2  
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x^2+8x+16   (x+4)^2  
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x^2-6x+9   (x-3)^2  
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x^2+3x+9/4   (x+3/2)^2  
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Completing the Square   The process of writing a quadratic equation so that one side is a Perfect Square Trinomial.  
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Solving a Quadratic Equation in X by Completing the Square   ((1.)) Divide/multiply both sides of the equation to make a = 1. ((2.)) Isolate the variables. ((3.)) Add the square of (1/2b) to both sides of the equation. ((4.)) Factor the perfect square trinomial. ((5.)) Solve for x using Square Root Property.  
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Simple Interest Formula   I=Prt I: interest earned P: Principle r: rate of interest t: time in years  
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Compound Interest Formula   A=P(1+r)^t A: total amount of money P: original investment r: interest rate per compounding period t: the number of periods  
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