Question

1. Calculate the discriminant. x2 – 2x + 4 = 0

2. What number would you have to add to both sides to complete the square? x2 – 14x = 7

3. Solve by using the perfect squares method. x2 – 12x + 36 = 0

4. Solve x2 + x – 6 = 0
5. Atasha is solving the equation x2 – x = –3 with the quadratic formula. What values should she use for a, b, and c?
6. Solve (8x + 3)2 = 16
7. Use the discriminant to determine the number and type of solutions the equation has. x2 + 8x + 12 = 0

Answer 1

1. -12
2. 49
3. x = 6
4. x=-3,2
5. a=1, b=−1, c=3
6. x=1/8, -7/8
7. x=-6,-2