# 4x^2-20x+25

Input |
---|

4 x^2 – 20 x + 25 |

Geometric figure |

parabola |

Root |

x = 5/2 |

Polynomial discriminant |

Delta = 0 |

Derivative |

d/dx(4 x^2 – 20 x + 25) = 8 x – 20 |

Indefinite integral |

integral (25 – 20 x + 4 x^2) dx = (4 x^3)/3 – 10 x^2 + 25 x + constant |

Global minimum |

min{4 x^2 – 20 x + 25} = 0 at x = 5/2 |