Show:
Graphing Quadratics
Solving by square roots
Solving by completing the square
Complex Numbers
Simplifying Radicals
100
Graph y=-x^2-8x-20
Vertex is at (-4,-4). Other points are (-3,-5) and (-5,-5)
100
Solve by square roots: 6n^2 - 7 = 287
7 and -7
100
Solve by completing the square: v^2-10v-92=4
16 and -6
100
Simplify: (-1+5i)(7+2i)
-17+33i
100
Simplify: sqrt(90)
3sqrt(10)
200
Graph -(x-3)^2 +3
Vertex at (3,3). Other points at (2,2) and (4,2)
200
Solve by square roots: 7x^2-2=75
+-sqrt(11)
200
Solve by completing the square: r^2-8r+13=-2
5 and 3
200
Simplify: (-7+8i)^2
-15-112i
200
Simplify: sqrt(80)
4sqrt(5)
300
Graph y=(x-4)(x-6).
x intercepts at 4 and 6. Vertex at (5, -1)
300
Solve by square roots: -9-9k^2=-711
+-sqrt(78)
300
Solve by completing the square: b^2-4b-5=10
2 +- sqrt (19)
300
Simplify: 7 / (5 - 3i)
(35 + 21i) / 34
300
Simplify: sqrt(175)
5sqrt(7)
400
Graph y<2x^2+8x+12
Vertex at (-2, 4). Other points at (-1, 6) and (-3, 6). Dotted. Shaded outside.
400
Solve by square roots: 7b^2-1=2365
+-13sqrt(2)
400
Solve by completing the square: x^2-16x-77=-4
8 +- sqrt (137)
400
Simplify: 3i / (8+4i)
(6i+3) / 20
400
Simplify: sqrt(294)
7sqrt(6)
500
Graph y<=-2x^2-16x-33
Vertex at (-4,-1). Other points at (-5, -3) and (-3,-3). Solid. Shaded Inside.
500
Solve by square roots: -6-2p^2=-94
+-2sqrt(11)
500
Solve by completing the square: n^2+4n-88=-10
-2 +- sqrt(82)
500
Simplify: (9+4i) / (-1-2i)
(-17+14i) / 5
500
Simplify: sqrt(486)
9sqrt(6)