Linear Equations and Complex numbers
What is the solution set for:
7(5x+9)=12-(x+9)
The solution set is: {x=-5/3}
What is the factored form of: 10a^2-20a=10a(___)
**Find the blank**
The factored form: 10a(a-2)
What is the discriminant:
x^2-10x+25=0
The discriminant: 0
What is the answer:
(20)/(x^2-25)-2/(x-5)=6/(x+5)
X=5; No Solution
What is the solution set for inequality in interval notation:
-9x+7≤25
[-2,∞]
What is the solution set for:
0.7x-0.3=0.6x+5
the solution set is: {x=53}
What is the greatest common factor and factor it out:
-10p^3+35p^2+15p
The GCF: -5p
Factored form: -5p(2p^2-7p-3)
What is the answer if we use the quadratic formula?
y^2-8y=-14
Use quadratic formula: {4±√2)
What is the answer: x-(√7-6x)=0
{x=1}
What is the solution set in interval notation:
2(x+4)+2≥8+3x
(-∞,2]
What is: √-63
√-63= 3i√7
Factor by grouping:
r^2+3r+6rq+18q
factored form: (r+6q)(r+3)
What is the answer using the square root property?
x^2=-121
{x=±11i}
What is the answer: x^(5/2)=32
{x=4}
What is the solution set in the inequality:
|2x-7|=8
{-1/2,15/2}
What is the answer to:
(7+5i)(6-i)
(7+5i)(6-i) = {47+23i}
What is the factored form: 3n^2-7n+4
Factored form: (3n-4)(n-1)
What is the answer using the square root property?
(3x-3)^2=22
{x=(3±√22)/3}
What is the answer:
4√x^2+2x=4√35
{-7,5}
What is the answer in interval notation:
4|x-4|>16
(-∞,0)U(8,∞)
2 part question:
A) what is i^2 equivalent to?
B) Solve 8/3i
A) i^2= -1
B) 8/3i = (-8/3)i
Answer by completing the square:
x^2-10x-4=0
{5±√29}
What is the discriminant:
3z^2+5z+12=0
Discriminant: -119
Solve:
(2x+6)^1/3 -(6x-1)^1/3=0
{x=7/4}
What is the solution set for the inequality:
|12-4x|<-13
No solution;
Ø;
**The 13 can't be negative**