Warmups Topics 6.5

Find the value of the discriminant. Then describe the number and type of roots for the equation.

1. -14x2 – 14x + 3 = 0

2. x2 – 3x + 8 = 0

Find the exact solution of the following quadratic equation by using the Quadratic Formula.

3. -x2 + 7x + 11 = 0

4. x2 – 7x = 60

5. x2 – 6x = 16

Answers (1. The discriminant is 244. Because the discriminant is greater than 0 and is not a perfect square, the roots are real and irrational. 2. The discriminant is –23.Because the discriminant is less than 0, the two roots are complex. 3. See Below 4. {-5, 12} 5. {-2, 8})

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