Solving Quadratic Equations
Complex Numbers
Completing the Square
Quadratic Formula
Discriminant
100
x^2 = 144
What is ±12
100
Simplify. √-32
What is ±4i√2
100
Find the value for c that makes the expression a perfect square trinomial. x^2 – 12x + c
What is 36
100
Solve the equation using the Quadratic Formula. x^2 – 6x + 4 = 0
What is 3 ± √5
100
Find the discriminant and describe the number of real solutions. x^2 + 12x + 36 = 0
What is 0 and 1 Real Solution
200
(x – 6)^2 = 25
What is 11 and 1
200
Add. (6 – i) + (7 + 3i)
What is (13 + 2i)
200
Solve using square roots (problem is already set up with a perfect square). x^2 – 8x + 16 = 25
What is 9 and -1
200
Solve the equation using the Quadratic Formula. x^2 + 41 = –8x
What is –4 ± 5i
200
Find the discriminant and describe the number of real solutions. 4x^2 – 4x – 24 = 0
What is 400 and 2 Real Solutions
300
Factor to solve. 0 = x^2 – 8x + 12
What is 2 and 6
300
Subtract. (12 + 4i) – (3 – 7i)
What is (9 + 11i)
300
Solve by completing the square. x^2 + 6x + 3 = 0
What is 3 ± √6
300
Solve the equation using the Quadratic Formula. –9x^2 = 30x + 25
What is -5/3
300
Find the discriminant and describe the number of real solutions. 4x^2 = 5x – 10
What is –135 and No Real Solutions
400
Solve. 7(x – 4)^2 – 18 = 10
What is 6 and 2
400
Multiply. (3 – 2i)(4 + 5i)
What is (22 + 7i)
400
Solve by completing the square. x^2 + 16x + 20 = 14
What is –8 ± √58
400
Solve the equation using the Quadratic Formula. 5x – 7x^2 = 3x + 4
What is (1 ± 3i√3)/7
400
Find the discriminant and describe the number of real solutions. Then give the solution in simplest form. x^2 + 7x = –11
What is 5 and 2 Real Solutions, x = (–7 ± √5)/2
500
Solve. 2x^2 + 17x + 21 = 0
What is -3/2 and -7
500
Simplify. -10 + (6 – 5i) – 9i(2 + 7i)
What is (59 – 23i)
500
Write the quadratic function in vertex form. Then identify the vertex. f(x) = x^2 + 12x + 37
What is f(x) = (x + 6)^2 + 1, and vertex is (-6, 1).
500
Write the equation of a quadratic function in Standard Form with the answer of: x = (–3 ± √41)/4
What is 2x^2 + 3x – 4
500
Find the discriminant and describe the number of real solutions. Then give the solution in simplest form. –3x^2 – 48 = 24x
What is 0 and 1 Real Solution, x = –4.
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