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# Module 16

### Solving Quadratic Equations by Completing the Square

Question | Answer |
---|---|

Solve for X X^2=121 | 11,-11 or ±11 |

Solve For X (x+5)^2=36 | 1,-11 get the square root of both sides to get a positive and negative version of each problem then set=x |

Solve for X X^2-5=0 | ±√ 5 or -5,5 |

Add the proper Constant to create a perfect square trinomial x^2+21x+____ | The constant term is 110.25 Take half of the coefficient of the x-term and square it. |

Factor the Trinomial x^2+21x+110.25 | (x+10.5)^2 Take half of the coefficient of the x term and get the square of half the coefficient and x. |

Solve for X X^2+18X=-17 | X=-17,-1 |

Find The interest Rate that Makes $200,000 grow to $208,080 in 2 years | The interest rate is 2% Use the Formula A=P(1+r)^t to solve. Substitute the amount before interest as P. The Years for t and the Amount after Interest for A. |

How long would it take an object to fall from a 875 ft building, neglecting air resistance? Use s(t)=16t^2 | 7.40 seconds Substitute the height of the building for s to get 875t=16t^2 |

Add a Constant to make the Binomial a Perfect Square Trinomial n^2-6n+___ | The Constant term to add is 9 Take half of the coefficient of the x-term and square it. |

Solve the Equation by completing the Square y^2+2y+26=0 | Y= -1±5i Subtract 26 from both sides find the constant, using 1/2 2 squared = 1 y^2+2y+1=-25 Factor the perfect square (y+1)^2=-25 get the square root y+1=±√ -25 Minus 1 y=-1±√ -25 Also remember that i should be used in place of √-1 |

Created by:
sydneyorman