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The Square Root of Negative One
Factor This Quadratic
Create a Quadratic
Complex Numbers
100
i
4
1
100
(x
2
-16)=0
(x+4)(x-4)=0
100
What is the standard form of the quadratic whose roots are -4 and 7?
x
2
-3x-28
100
Add these complex numbers (2+3i)+(7+i)
9+4i
200
i
7
-i
200
x
2
+5+4=0
(x+4)(x+1)=0
200
What is the standard form of the quadratic whose roots are positive and negative i times the square root of eleven?
x
2
+11=0
200
Add these complex numbers (-4+7i)+(-4-7i)
-8
300
√
-16
4i
300
4x
2
-4x+1=0
(2x-1)(2x-1)=0
300
What is the standard from of the quadratic whose roots are 3 and 9/2?
x
2
- 15/2 x + 27/2
300
Subtract these complex numbers (2-6i)-(-10+4i)
12-10i
400
√
-27
3i √
3
400
Use the quadratic formula for this answer 3x
2
-11x-4=0
(x+ 1/3)(x-4)=0
400
What is the standard form of the quadratic whose roots are positive and negative i multiplied by the square root of 3?
x
2
+3=0
400
Multiply these complex numbers (4i)(6-i)
4+24i
500
i
10
x i
12
-1
500
Use the quadratic formula for this answer 5x
2
-2x+37=x
2
+2x
(x-1/2-3i)(x-1/2+3i)=0
500
What is the standard from of the quadratic whose roots are -8i and 3i?
x
2
-5xi+24=0
500
Multiply these complex numbers (-1+2i)(11-i)
-9+23i