Linear Equations and Complex numbers
What is the Solution set for:
7(5x+9)=12-(x+9)
The solution set is: {-5/3}
*From 1.1 HW
What is the factored form?
10a2-20a=10a( )
The factored form is: 10a(a-2)
*from 1.4 HW
What is the discriminant?
x2-10x+25=0
{0}
*#22 from study guide
What is the answer?
(20/x2-25)-(2/x-5)=(6/x+5)
{x=5, so No Solution}
*#25 Study guide
What is the answer for the inequality in interval notation?
-9x+7≤25
[-2,∞)
*#32 study guide
What is the solution set for:
0.7x-0.3=0.6x+5
The solution set is: {53}
*from 1.1 HW
What is the greatest common factor? And factor it out:
-10p3+35p2+15p
Factoring it out: -5p(2p2-7p-3)
What is the answer using the quadratic formula:
y2-8y=-14
{4±√2}
*#20 Study guide
What is the answer: x-(√7-6x)
**7-6x is all under the √**
{x=1}
*#26 Study guide
What is the answer in interval notation:
2(x+4)+2≥8+3x
(-∞,2]
What is √-63
{3i√7}
*From 1.3 notes
Factor by grouping: r2+3r+6rq+18q
(r+6q)(r+3)
*from 1.4 HW
What is the answer using the square root property?
x2=-121
±11i
*#17 Study guide
What is the answer?
x5/2=32
x=4
*#30 study guide
What is the answer for the inequality:
|2x-7|=8
{-1/2, 15/2}
*Both answers are fractions
*#37 Study guide
What is: (7+5i)(6-i)
{47+23i}
*From 1.3 notes
What is the factored form: 3n2-7n+4
(3n-4)(n-1)
*From 1.4 HW
What is the answer using the square root property:
(3x-3)2=22
{ (3±√22)/3}
*Answer is a fraction
*#17 study guide
What is the answer?
4√x2+2x = 4√35
**Both radicals are 4th roots**
{-7,5}
*#27 Study guide
What is the answer in interval notation:
4|x-4|>16
**Attempt to graph on a number line**
(-∞,0)U(8,∞)
*#38 study guide
What is i2 = to?
Solve 8/3i
i2 = -1
8/3i = (-8/3)i
*From 1.3 notes
Solve by completing the square:
x2-10x-4=0
{5±√29}
*#18 from Study guide
What is the discriminant? 3z2+5z+12=0
{-119}
*#22 Study guide
Solve: (2x+6)1/3-(6x-1)1/3 = 0
{7/4}
*#29 Study guide
Solve the inequality:
|12x-4x|<-13
Ø
*Remember absolute values always give us a positive answer. SO this statement is false meaning No solution**
*#39 study guide