Imaginary Numbers
Simplify: (7-3i)-(5-10i)
2+7i
x/5=x/6+1
x2-8x=15
x=3 and 5
x3/4=4
x equals the fourth root of 64.
Bonus 200 pts: x equals 2 fourth root of 4
Solve and write the solution in interval notation: Assume it is less than or equal to
3(2x-8)<9x+12
[-12,inf)
Simplify: (5-5i)(10+2i)
(60-40i)
4/x=5/2x+3
x=1/2
(x-1)2=-9
1+3i and 1-3i
|2x-1|+3=3
x=1/3
Find the intersection of the following sets:
[-2,inf) , (4,inf)
(4,inf)
Simplify: i26
-1
5+(x-2)/3=(x+3)/8
x=-19
3x2-1=47
x=-4 and 4
x4+x2=45
x=3, -3, sqrt(5), -sqrt(5)
Find the Union of the following sets:
[-2,inf) U (4,inf)
Rationalize: 5/(3+2i)
(15+10i)/5
3/2(x-1)+1/2=2/(x-1)
x=2
4x2-13x=-3
x=1/4 and 3
4y3-2=y-8y2
y=-2, -1/2, 1/2
Write the solution of the following absolute value inequality as an interval:
|2(x-1)+4|<8
(-5,3)
Rationalize: (2+2i)/(2-2i)
4i/8
8x/(x+1)=4-8/(x+1)
No Solution
3x2-2x-2=0
1+sqrt(7)/3 and 1-sqrt(7)/3
sqrt(3x)+10=x+4
x=12
Write the solution of the following absolute value inequality as an interval:
|5x-2|>13
(-inf,-11/5) U (3,inf)