# Complete the squares

Input interpretation |
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completing the square |

Alternate name |

complete the square |

Definition |

The conversion of a quadratic polynomial of the form ax^2 + bx + c to the form a(x + b/(2a))^2 + (c – b^2/(4a)), which, defining Bcongruentb/2a and Ccongruentc – b^2/4a, simplifies to a(x + B)^2 + C. |

Related topics |

quadratic equation | quadratic formula | quadratic polynomial |

Subject classifications |

algebraic identities |