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# Wiki - Module 17

### Solving Equations by the Quadratic Formula and Quadratic Methods

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

Give the formula solving for “x” given an equation expressed as: ax2 + bx + c = 0, when a ≠ 0? | x=(-b±√(b^2-4ac))/2a |

Show the expression solving for “x” of the following quadratic equation expressed as: 3x^2+16x+5=0? Do not simplify, express as x = ? | x=(-16±√(〖16〗^2-4(3)(5)))/(2(3)) |

For the equation below what are the correct coefficents for substitution into the quadratic formula? 3x^2+16x+5=0 Anwser as a=_ , b=_ , c=_ | a=3 , b=16 , c=5 |

Find the discriminant of the following equation. How many solutions, if any, are correct? If so, are they real or complex? 2x^2+6x+9=0 | 2, real |

What is equation of the Pythagorean Theorem? What does this solve? | a^2+b^2=c^2 Gives the third side of a triangle, given the other 2 sides. |

If Peter is going to cut across the parking lot instead of walking around it, give the quadratic equation set to zero, if his new route is 100ft and one side is 30 feet longer than the other. | 2x2+60x-9100=0 |

What is the equation for the first coordinate of the vertex for the equation “y=ax^2+bx+c” Answer as: x of vertex is “_” | x of vertex is “-b/2a” |

What is the equation used to find the “x” intercepts of a parabola with the equation of: "y=ax^2+bx+c” | The Quadratic formula, setting y =0, then x=(-b±√(b^2-4ac))/2a |

Find the y-intercept of the parabola with the equation of: "y=ax^2+bx+c” Express answer as an ordered pair. | (0,c) |

Which direction does the graph of a parabola open if the equation is: "y=-4x^2+6x+12” | Downward |

If Tommy throws a baseball in the air from the ground at a velocity of 19 ft per second, then how long will it take the baseball to hit the ground, given the function: h=-16t^2+vt Round answer to the nearest hundredth. | t = 1.19 seconds |

If Tommy throws a rock in the air from the ground at a velocity of 27 ft per second, then how high will the rock get? Will it hit the street light which is 10 ft high, given the function: h=-16t^2+vt Round answer to the nearest hundredth. | 11.39 ft., Yes it will hit it. |

Created by:
mabrahamson12