Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# Quadratic Formula

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

What is the Quadratic Formula? | A quadratic formula is written as ax<sup>2</sup> + bx + c = 0 has the solutions: x=-b±√(b<sup>2</sup>-4ac)/2a |

Use the Quadratic formula to solve the equation:<br /> 2x=5x<sup>2</sup>-3 | -3/5, 1 |

Use the Quadratic formula to solve the equation:<br /> y<sup>2</sup>+5y = -2 | -5-√(17)/2, -5+√(17)/2 |

What benefit does knowing the discriminant of a quadratic equation help with in finding a solution to an equation? | Knowing the discriminant, one can predict the possible outcome of a quadratic equation. |

Use the discriminant to determine the number and types of solutions to the equation:<br /> 4x<sup>2</sup>+12x=-9 | This equation has one real solution. |

Use the discriminant to determine the number and types of solutions to the equation:<br /> 9y-2y<sup>2</sup>+5=0 | This equation has two real solutions. |

Solve:<br /> 2x = √(11x + 3) | 3 |

Solve:<br /> 2x<sup>2/3</sup>+3x<sup>1/3</sup>-2= | 1/8, -8 |

Solve:<br /> 27x<sup>4</sup>+15x<sup>2</sup>=2 | -1/3, 1/3, -i√(6)/3, i√(6)/3 |

Use the Quadratic formula to solve the equation :<br /> (m + 2)(2m - 6)= 5(m - 1) - 12 | 5/2, 1 |

Created by:
bytetroll