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Question 376324: Was wondering if someone could help me figure out if they were done correctly. I understand there are a lot of questions, but I have tried them all and want to know if they are correct or not. Thanks.
1. Simplify
a. Sqrt(-49) answer 7i
b. Sqrt(-36)* Sqrt(-9) answer -18
c. Sqrt(-81/-9) answer 3
2. Simplify
a. (3+i)-(5-2i) answer -2+3i
b. (3-5i)+(6-2i) answer 9-7i
c. ((1/3)-(3/2)i)-((1/6)+(2/3)i) answer (1/6)-(13/6)i
3. Divide
a. (2+i)/(3-i) answer (1/2)+(1/2)i
b. (2-i)/(5+i) answer (13/17)+(i/17)
c. (3+i)/(4+i) answer (13/17)+(i/17)
4. Simplify
a. i^29 answer Sqrt(-1)
b. i^15 answer –i
c. i^-21 answer (1/(Sqrt(-1))
5. Solve
a. 25x^2+16=40x answer x={(4/5),(4/5)}
b. 9x^2+9=18x answer x={1,1}
c. 4x^2+36=24x answer x={3,3}
6. Use Quadratic Formula to solve
a. 6x^2-5x+1=0 answer x={(1/3),(1/2)}
b. 4x^2-12x+9=0 answer x={(3/2),(3/2)}
c. 2x^2+7x-4=0 answer x={-4,(1/2)}
7. Reduce
a. (x^2-8x+16)/(x^2-9x+20) answer (x-4)/(x-5)
b. (x^2+x-6)/(x^2+4x+3) answer (x-2)/(x+1)
c. (x^2-6x+9)/(x^2-9) answer (x-3)/(x+3)
8. Multiply and Simplify
a. ((x+2)/(x-3))*((x^2+3x-18)/(x^2+9x+14)) answer (x+6)/(x+7)
b. ((x-1)/(x+4))*((x^2+9x+20)/(x^2+x-2)) answer (x+5)/(x+2)
c. ((x-5)/(x+3))*((x^2+x-6)/(x^2-3x+2)) answer (x-5)/(x-1)
9. Divide and Simplify
a. ((x^2-5x+4)/(x^2+x-2))/((x^2-2x-15)/(x^2+5x+6)) answer (x-4)/(x-5)
b. ((x^2+8x+15)/(x^2+3x-10))/((x^2+5x+6)/(x^2+x-6)) answer (x+3)/(x+2)
c. ((x^2+3x+2)/(x^2+3x-15))/((x^2+7x+10)/(x^2+3x-15)) answer (x+1)/(x+5)
10. Add
a. (2/(x+1))+(3/(x-4)) answer (5x-5)/(x+1)(x-4)
b. (5/(x-1))+(3/(x-4)) answer (8x-23)/(x-1)(x-4)
c. (1/(x+1))+(4/(x+5)) answer (5x+9)/(x+1)(x+5)
11. Subtract
a. ((3x+1)/(9x^2-1))-(2/(3x-1)) answer (-1/(3x-1)
c. ((x+3)/(x^2+5x+6))-(2/(x+3)) answer (-x-1)/(x+3)(x-2)
12. Simplify
a. (((3)/(xy))+2)/(((4)/(x))+((3)/(y))) answer (3x+2xy)/(4y+3x)
b. ((5/x)+(3/y))/(2-(3/(xy))) answer (5y+3x)/(2x-3)
c. ((5/x)+(4/y))/((2+(3)/(xy))) answer (5y+4x)/(2xy+3)
13. Solve
a. (7/(x-2))=(3/(x+1)) answer x=-(13/4)
b. (4/(x-3))=(3/(x+4)) answer x=-25
c. (2/(x-5))=(3/(x+2)) answer x=19
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! 1) All correct.
2) All correct.
3) b is not correct. Answer should be 9/26-(7/26)i
4) a) also known as i
b) good
c) rationalize denominator to get -i
5) a) Solution set is simply {4/5}
b) Solution set is simply {1}
c) Solution set is simply {3}
6) a) Good
b) Solution set is simply {3/2}
c) Good
7) All correct.
8) All correct.
9) All correct.
10) All correct.
11) All correct.
12) a) Answer is (2xy+3)/(3x+4y)
b) Answer is (3x+5y)/(2xy-3)
c) Good
13) All correct.
If you need more help, email me at jim_thompson5910@hotmail.com
Also, feel free to check out my tutoring website
Jim
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