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9.7 Using the Discriminant

9.7 Using the Discriminant. Goal: use the discriminant to determine the number of solutions of a quadratic equation. Standards.

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9.7 Using the Discriminant

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  1. 9.7 Using the Discriminant Goal: use the discriminant to determine the number of solutions of a quadratic equation

  2. Standards 22. 0 Students use the quadratic formula or factoring techniques or both to determine whether the graph of a quadratic function will intersect the x-axis in zero, one, or two points. Los estudiantes utilizan la fórmula cuadrática o las técnicas de factorización o ambas para determinar si la gráfica de la función cuadrática intersectará el eje de las X en un punto, dos puntos, o no la intersectará.

  3. Standards 23.0 Students apply quadratic equations to physical problems, such as the motion of an object under the force of gravity. Los estudiantes aplican equaciones cuadráticas a los problemas de física, tales como el movimiento de un objeto bajo fuerza de la gravedad.

  4. Quadratic Formula • The discriminant is the expression inside the radical in the quadratic formula .

  5. Consider the quadratic equation • If is positive , then the equation has two solutions. • If is zero , then the equation has one solution . • If is negative , then the equation has no real solution.

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