## Download Quadratic Equations PDF

You can download the Quadratic Equations PDF for free using the direct download link given at the bottom of this article.

File name | Quadratic Equations PDF |

No. of Pages | 9 |

File size | 310 KB |

Date Added | Aug 29, 2022 |

Category | Education |

Language | English |

Source/Credits | Drive Files |

### Quadratic Equations Overview

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. Quadratic equations are equations of the form y = ax2 + bx + c or y = a(x – h)2 + k. The shape of the graph of a quadratic equation is a parabola.

**Quadratic Equation Formula**

The solution or roots of a quadratic equation are given by the quadratic formula: (α, β) = [-b ± √(b2 – 4ac)]/2a

α = (-b-√b2-4ac)/2a and β = (-b+√b2-4ac)/2a

b2 – 4ac > 0 | Real and unequal |

b2 – 4ac = 0 | Real and equal |

b2 – 4ac < 0 | Unequal and Imaginary |

b2 – 4ac > 0 (is a perfect square) | Real, rational, and unequal |

b2 – 4ac > 0 (is a perfect square) | Real, irrational, and unequal |

b2 – 4ac > 0 (is a perfect square and a or b is irrational) | Irrational |