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# Module 16--scraft113

### Completing the Square

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. |

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 |

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m0697095