Expert: Richard J. Raridon - 5/5/2010

Question
1.Solve:
(t - 3)^2 = 8


2. Solve: (x - 5)^2/3 = -8


3.Solve:
y^2 + 8y + 6 = 0


4.Solve: t^2 + 8 = 4t


5.Solve:
2n^2 - 8n - 3 = 0


6.Solve: 0.5x^2 - 3x = 2


7.Solve: 5x(1 - x) = 5(x - 2)



8. Solve:  √ (x + 3)  =  2x



9. Simplify: 15y^2 / 15y^3-10y^2


10.  Simplify: a^2-1 /a^2+2a+1


11.
Simplify: (6z^2)^2 / 4z^3)^3



12.Solve:  √ (x + 6)  =  x


13.Simplify: (8x^4)^2 /(2x^2)^5

14.Solve:
5 = 4r(2r + 3)


15.. Solve: t^2  +    2  =    2t /5


16. t^2 + 6t + 6 = 0
 

17.Solve:
2w^2 + 4w = -3


18.Solve:
u^2 + 2u - 3 = 0


19. Solve:
z^2 + 2iz - 1 = 0



20. Solve:
4y^2 + 12y + 9 = 0


21. Solve:
5(x + 7)^2 = 25


22. Solve:
10 = 6t - t^2



23.Solve:
x^2 + 4x - 396 = 0



24.Solve:
(2x + 5)(x - 3) = 6


25.Solve:
2w^2 = 3(w - 2)^2


26. x + 1/x - x/ x+1= 2


27. t / t-2 + 2t/ t-1=6

28. Find the value of k for which the equation has a real double root:
9x2 - 6x + k = 0

29. Find the value of k for which the equation has a real double root:
3x2 - 6x - k = 0

30.Find the value of k for which the equation has a real double root:
3x2 - 6kx + 12 = 0


31. Solve:
x2 - 2x - 5 = 0


32.Solve:
p2 + 20p + 200 = 0

Answer
1. t = 3 +/-2(2^1/2)
2. x = 5 +16i(2^1/2)
3. y = -4 +/-(10^1/2)
4. t = 2 +/-2i
5. n = [4 +/-22^1/2]/2
6. x = 3 +/-13^1/2
7. x = +/-2^1/2
8. x = 1, -3/4
9. I assume you mean 15y^2/(15y^3-10y^2) which equals 3/(3y-2)
10. (a-1)/(a+1)
11. 9/(16z^5)
12. x = 3,-2
13. 2/x^2
14. r = [-3 +/-(19^1/2)]/4
15. t = [1 +/-(51^1/2)]/5
16. 3 +/-(3^1/2)
17. w = [-2 +/-(10^1/2)]/2
18. u = 1, -3
19. z = -i
20. (2y+3)^2
21. x = -7 +/-(5^1/2)
22. 3 +/-i
23. x = 18, -22
24. x = -3, 7/2
25. w = -6 +/-2(6^1/2)
26. x = +/-(2^1/2)
27. t = [17 +/-(93^1/2)]/6
28. k < -1
29. k < 3
30. x > 2
31. x = 1 +/-(6^1/2)
32. p = 10 +/-(10i)