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# Module 16--scraft113

### Completing the Square

TermDefinition
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.
Second-Degree Equation Another term for Quadratic Equation
Square Root Property If b is a real number and if a^2=b then a = +/- b^1/2
x^2+8x+16 (x+4)^2
x^2-6x+9 (x-3)^2
x^2+3x+9/4 (x+3/2)^2
Completing the Square The process of writing a quadratic equation so that one side is a Perfect Square Trinomial.
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.
Simple Interest Formula I=Prt I: interest earned P: Principle r: rate of interest t: time in years
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
Created by: m0697095