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Solving Quadratic Equations
Complex Numbers
Completing the Square
Using the Quadratic Formula
Solving Nonlinear Systems
100
Solve the equation using square roots. x^2 + 49 = 85
What is x=6, -6
100
Find the values of x and y that satisfy the equation. 36-yi=4x+3i
What is x=9 y=-3
100
Solve by completing the square. x^2+16x+17=0
What is x=-8 +/- (root 47)
100
Solve by using the Quadratic Formula. -x^2+5x=2
What is x=5 +/- (root 17) _____________ 2
100
Solve using substitution. 2x^2 - 2 = y -2x + 2 = y
What is (-2,6) (1,0)
200
Solving the equation by using square roots or by factoring. 3x^2 - 4 = 8
What is x=2, -2
200
(-2+3i)+(7-6i)
What is 5-3i
200
Solve by completing the square. 4x^2 +16x+25=0
What is x=(-4 +/- 3i)/2
200
Solve by using the Quadratic Formula. 3x^2 -12x + 13=0
What is x= 6 +/- i(root 3) ____________ 3
200
Solve using elimination. x^2 - 6x + 13=y -y=-2x+3
What is (4,5)
300
Solving the equation by using square roots or by factoring. x^2 + 6x -16 =0
What is x=2, -8
300
(9+3i)-(-2-7i)
What is 11+10i
300
Solve by completing the square. 9x(x-6)=81
What is x=3 +/- 3(root 2)
300
Solve by using the Quadratic Formula. 2x^2 +5x=3
What is x=0.5, -3
300
Solve using substitution. x^2 + y^2 = 4 -15x+5 = 5y
What is about (-0.32, 1.97) and (0.92, -1.77)
400
Solving the equation by using square roots or by factoring. 2x^2 - 17x = -30
What is x=6, 2.5
400
(5+6i)(-4+7i)
What is -62+11i
400
Write y=x^2 - 2x + 20 in vertex form. Then identify the vertex.
What is y=(x-1)^2 +19 (1,19)
400
Find the discriminant of the quadratic equation and describe the number and type of solutions of the equation. Find the solution. -x^2 -6x-9=0
What is 0 - one real solution. x=-3
500
A rectangular enclosure at the zoo is 35 ft long by 18 ft wide. The zoo wants to double the area of the enclosure by adding the same distance x to the length and wide. Write and solve an equation to find the value of x. What are the dimensions of the enclosure?
What is (x+18)(x+35) = 1260 x=10 28ft by 45 ft
500
Solve 7x^2 +21 =0
What is x= +/- i (root 3)
500
Find the discriminant of the quadratic equation and describe the number and type of solutions of the equation. Find the solution. x^2-2x-9=0
What is 40 - two real solutions x= 1 +/- (root 10)