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9.6 The Quadratic Formula and the Discriminant.notebook February 24, 2016 9.6 The Quadratic Formula and the Discriminant Day Two At the end of this lesson I will be able to: use the discriminant to determine how many solutions a quadratic equation will have solve application problems with the quadratic formula The quadratic formula can be derived using completing the square. 9.6 The Quadratic Formula and the Discriminant.notebook February 24, 2016 The discriminant is the stuff under the square root in the quadratic formula If b2-4ac>0, there are two solutions If b2-4ac=0, there is one solution If b2-4ac<0, there are no solutions Solve the quadratic equation using the quadratic formula. One Solution: 2x2 - 28x = -98 9.6 The Quadratic Formula and the Discriminant.notebook February 24, 2016 no real solutions: 6x2 + x + 12 = 0 A ninja is trying to throw a throwing star over the castle wall. The ninja is in a tree 7 ft from the ground. The star must reach a height of 16 ft. If the ninja throws the star with an initial velocity of 24ft/sec, does the star have a chance of going overthe wall? h=-16t2+vt+7 9.6 The Quadratic Formula and the Discriminant.notebook Assignment page 587 problems 22, 31, 32, 34 February 24, 2016