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Complex_Numbers/344305: Find the solutions of the equation.
x^3-125= 0
x^3= 125 x= 5
How can I find the COMPLEX solutions? I believe you have to use the quadratic equation but I'm not really sure how to factor x^3-125.
Thanks! 1 solutions
Answer 246315 by Fombitz(13828) on 2010-09-16 22:32:38 (Show Source):
You can put this solution on YOUR website!No, you can't use the quadratic formula on a cubic equation.
Recognize that this is the difference of two cubes.

One solution is

.
.
.
Now find the root of the quadratic equation with the quadratic formula,
 where
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Radicals/344326: Hi,
How do you solve: x^3 - 2x^2 + 9x - 18 = 0
the teacher has given us one solution, 3i/square root of -9.
i need two other solutions and am not sure how to obtain them.
i have tried rational root theorem/ long division but do not know how to do it with square roots and imaginary numbers.
thanks 1 solutions
Answer 246310 by Fombitz(13828) on 2010-09-16 22:23:17 (Show Source):
You can put this solution on YOUR website!Complex solutions always come in complex conjugate pairs.
So, if  is a solution, then  is also a solution.

You can then use polynomial long division to find the last root,
You can then get 
Also, since only one root remains you know it must be real.
You could graph the equation and find it that way too.
.
.

.
.
Looks like  might be a number to stick in the function to see if  .
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Complex_Numbers/344327: what does an imaginery number mean?? like in the equation (3+2i)+(5-4i). i dont understand the purpose of the "i". 1 solutions
Answer 246309 by Fombitz(13828) on 2010-09-16 22:18:16 (Show Source):
You can put this solution on YOUR website! was invented for equations like this  .
Since real numbers square can only take positive values, then no real number can solve that equation.
Complex numbers were created just for that reason.
In this case, if  I know that,
 so then  .
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Exponents/344317: I am trying to figure out how to solve for "n" when it is 2 to the "n" power in the following equation:
2^n+6=14.
2^n+6-6=14-6
2^n=8
I am unclear where to go from here. How to I isolate the exponent "n" to find the solution? 1 solutions
Answer 246306 by Fombitz(13828) on 2010-09-16 22:08:18 (Show Source):
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Exponents/344075: (x2y2)2
(x-1)
in the parethesis the number after the x and y are exponents
I dont know how to type the problem correctly
How do I show a exponent on the keyboard 1 solutions
Answer 246170 by Fombitz(13828) on 2010-09-16 16:08:53 (Show Source):
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Angles/344065: Proof: given: angle 1 is congruent to angle 2
Prove: angle 3 is congruent to angle 4
What is the proof? 1 solutions
Answer 246159 by Fombitz(13828) on 2010-09-16 15:45:59 (Show Source):
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Quadratic_Equations/343971: A parabola with the equation of the form y = ax^2 + bx + c has the point (3, 1) as its vertex. If (1, 3) also lies on the parabola, which of the following is another point on this parabola?
(A)(-3, -1) (B) (-1,-3) (C) (2, 2)(D) (2, 6) (E) (5, 3) 1 solutions
Answer 246154 by Fombitz(13828) on 2010-09-16 15:42:32 (Show Source):
You can put this solution on YOUR website!In vertex form,

Using (  ,  ),

.
.
.

Now that you have the equation, test all of the points.
I'll do one, you do the remaining four.
A) (  ,  ):

False, so (  ,  ) is not a point on the parabola.
Continue with the remaining points in the same manner.
.
.
.
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Linear-systems/344051: I bought 10 lbs. of Stayman apples and x lbs. of golden delicious apples at the orchard. What was the combined weight of the apples?
1 solutions
Answer 246153 by Fombitz(13828) on 2010-09-16 15:37:58 (Show Source):
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Linear_Equations_And_Systems_Word_Problems/344052: Problem solving using linear equation
problem question : Zara works part-time at a flower shop. She is making a flower arrangement for a customer with a total of 30 flowers, using two types of flowers. she asked to use four times as many carnations as roses. how many of each will be in the arrangement?
i tried to solve this question many times but couldn't get the right answer
so please can you help me? 1 solutions
Answer 246150 by Fombitz(13828) on 2010-09-16 15:34:11 (Show Source):
You can put this solution on YOUR website!The total number of carnations and roses is 30.
1. 
There are four times as many carnations as roses.
2. 
Substitute eq. 2 into eq. 1,

Now solve for  .
.
.
.
Once you have  , use either equation to solve for  .
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Probability-and-statistics/344056: A certain diet claims to lower cholesterol by an average of 60 points with a standard deviation of 7. Find the probability that the mean amount lowered will be more than 75 points. 1 solutions
Answer 246147 by Fombitz(13828) on 2010-09-16 15:29:20 (Show Source):
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Radicals/344059: Solve by multiplying both side by the LCD.
x+3/x-1 + x+4/x+1 = 8x+5/x^2-1
My Work: (x+1)(x+3)+(x-1)(x+4)=8x+5
2x^2-7x-1=8x+5
2x^2-15x-6=0
no solution
Is this correct please help thanks 1 solutions
Answer 246144 by Fombitz(13828) on 2010-09-16 15:24:24 (Show Source):
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Age_Word_Problems/344048: Melissa is 24 years younger than Joyce. In 2 years, Joyce will be 3 times as old at Melissa will be then. How old are they now? 1 solutions
Answer 246143 by Fombitz(13828) on 2010-09-16 15:18:09 (Show Source):
You can put this solution on YOUR website!1. 
In two years, Melissa will be  , Joyce will be  .

2. 
Substitute eq. 1 into eq. 2,

Then

.
.
.
Joyce is 34 years old and Melissa is 10 years old.
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