Solving Quadratics
Complex Numbers
Completing the Square
Quadratic Formula
MISC
100
Solve the following quadratic equation by factoring.
x2 - 6x + 5 = 0
x=1, 5
100
(5+6i) + (4-2i)
What is 9 + 4i
100
What number would make this a perfect square trinomial?
x2-x+c
c=1/4
100
What is the discriminant?
b2-4ac
100
Name the vertex and axis of symmetry y= (x-3)2 +4
(3,4) x=3
200
Solve: 4x2 + 9 = 0
+-(3i)/2
200
(3+2i)(5-i)
What is 17+7i
200
What do you need to add to both sides of the equation when completing the square?
(b/2)^2
200
Find the discriminant and tell what type of solutions for -4x2 = 5x + 6
What is -71, 2 imaginary solutions
200
What are three ways you can solve for the x-intercepts?
Completing the Square
Factoring using the Zero Product Property
Quadratic Formula
Square root Method
300
Solve the equation. (x-2)²=16
x=-2, 6
300
sqrt-8*3sqrt-2
-12
300
Solve by CTS
x2+4x+1=0
x=-2+-sqrt3
300
Solve the following quadratic equation by using the quadratic formula:
x2 + 2x + 3 = 0
-1+-isqrt2
300
Classify the function by its function family. Then describe the transformation of the parent function.
g(x)=1/4 (x-2)^3-1
Cubic
right 2, down 1, vertical shrink by 1/4
400
Solve the following quadratic equation by factoring.
3n2 - 25n + 28=0
n=4/3, 7
400
Simplify i90
What is -1
400
Solve by CTS
2x2+8x+14=0
x=-2+-isqrt3
400
Solve the following quadratic equation by using the quadratic formula (nearest tenth):
4x2 - 17x + 12 = 0
{0.9, 3.4}
400
Find the vertex and x-intercepts 2x2 + 4x - 6 = 0?
(-1,-8) vertex
(-3,0) (1,0) x-intercepts
500
Solve the equation. 4(x-1)2=-12
1±i√3
500
(5+3i)/(2-2i)
(1+4i)/2
500
Write the following quadratic in vertex form by completing the square
y = x²-4x+13
y=(x-2)2+9
500
Solve the following quadratic equation by using the quadratic formula:
4x2 + 4x - 9 = 0
(-1+-sqrt10)/2
500
The table shows the altitudes of a hang glider that descends at a constant rate. How long
will it take for the hang glider to descend to an altitude of 100 feet? Create a model using your calculator.
The equation that models the data is
y = 450 − 10t.
It will take 35 seconds to reach 100 feet