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Factoring
Square Roots
Completing the Square
Quadratic Formula
Discriminant
100
Solve by Factoring. x^2 - 3x - 54 = 0
What is x=-6 and x=9
100
x^2 = 144
What is x=12 and x=-12
100
Solve by Completing the Square. x^2 + 6x +8 = 0
What is x= -4 and x=-2
100
Solve using the Quadratic Formula. x^2 + 4x + 3 = 0
What is x=-3 and x=-1
100
How many solutions will the equation have? x^2 +4 = 4x
What is 1 solution.
200
Solve by Factoring. 2x^2 + 9t +10 = 0
What is x=-5/2 and x=-2
200
Solve by taking the Square Root. x^2 = 75
What is x=5√3 or x=-5√3
200
Solve by Completing the Square. x^2 + 10 = -10x
What is x=-5+√15 and x=-5-√15
200
Solve by using the Quadratic Formula. 3x^2 + x - 10 = 0
What is x=-2 and x=5/3
200
How many solutions will the equation have? -5 = x(x+6)
What is 2 rational solutions.
300
Solve by Factoring. 4k=12k^2
What is k=0 and k=1/3
300
Solve by taking the Square Root. x^2 + 4 = 0
What is x=2i and x=-2i
300
Solve by Completing the Square. x^2 - 3x = 7
What is x=3/2+√37/2 and x=3/2-√37/2
300
Solve by using the Quadratic Formula. x^2 = 8x - 25
What is x=4+3i and x=4-3i
300
How many solutions will the equation have? 3 + 2x^2 - 7x =0
What is 2 rational solutions.
400
Solve by Factoring. x^3 + 3x^2 - 16x - 48 = 0
What is x=-4 and x=-3 and x=4
400
Solve by taking the Square Root. 2x^2 - 11 = 25
What is x=3√2 or x=-3√2
400
Solve by Completing the Square. x^2 + 12 = 7x
What is x=3 and x=4
400
Solve by using the Quadratic Formula. x(x-4) = -22
What is x=2+3i√2 and x=2-3i√2
400
How many solutions will the equation have? 2x^2 - 4x - 5 = 0
What is 2 irrational solutions.
500
Solve by Factoring. 3x-16 = x(x-7)
What is x=2 and x=8.
500
Solve by taking the Square Root. (x-14)^2 + 5 = 0
What is x=14-i√5 and x=14+i√5
500
Solve by Completing the Square. (x-4)(x+10) = -17
What is x=-3+4√2 and x=-3-4√2
500
Solve by using the Quadratic Formula. (3x+1)(x-1) = (2x-3)(x+2)
What is x=3+√5 and x=3-√5
500
How many solutions will the equation have? 10x^2 - 9x +3 = 0
What is 2 complex solutions.