Tutors Answer Your Questions about Complex Numbers (FREE)
Question 1017157: If 4 + I and 4 - I are roots of the equation z^2 + az + b = 0 find the value of a and the value of b?
For the format: ax² + bx + c = 0
Sum of the roots = - b/a
Product of the roots = c/a
given: (4 + i) and (4 - i)
8 = - b/a
17 = c/a
a = (- b)/8 = 1
- b = 8
b = - 8
a = c/17 = 1
c = 17
equation is: z² - 8z + 17 = 0
check...do something
Click here to see answer by ikleyn(52747)   |
Question 1017157: If 4 + I and 4 - I are roots of the equation z^2 + az + b = 0 find the value of a and the value of b?
For the format: ax² + bx + c = 0
Sum of the roots = - b/a
Product of the roots = c/a
given: (4 + i) and (4 - i)
8 = - b/a
17 = c/a
a = (- b)/8 = 1
- b = 8
b = - 8
a = c/17 = 1
c = 17
equation is: z² - 8z + 17 = 0
check...do something
Click here to see answer by MathTherapy(10549)  |
Question 1017155: f 5 - 3i is a root of the equation z^2 - 10z + k = 0 find the value of k?
I got something like this can you fix it and add something new?
if (5 - 3i) is a root, then (5 + 3i) is a root, too (complex conjugates)...
*
* product of the roots = c / a
*
* (5 + 3i)(5 - 3i) = 25 - 9i² = 34
*
* k = 34
Click here to see answer by ikleyn(52747) |
Question 1017513: Please help me. Show all work. I tried the problem but came up with this answer for the interval (3/2 < x < 15/2) but it was wrong. I don't know what is going wrong.
Solve: |2x−9|<6
Give your answer as an interval.
Click here to see answer by macston(5194)  |
Question 1021320: Hello, I am having trouble with absolute value of complex numbers. I have 5 complex numbers and need to figure out which one has the greatest absolute value. 1)-2+i sqrt(10) 2)3- i sqrt (5) 3) - sqrt(9)-2i (I think this answer is sqrt (13) 4) 2+3i (I think this answer is also sqrt (13) and 5)sqrt (6)-3i I appreciate any help anyone can give me!
Click here to see answer by Fombitz(32388)  |
Question 1021320: Hello, I am having trouble with absolute value of complex numbers. I have 5 complex numbers and need to figure out which one has the greatest absolute value. 1)-2+i sqrt(10) 2)3- i sqrt (5) 3) - sqrt(9)-2i (I think this answer is sqrt (13) 4) 2+3i (I think this answer is also sqrt (13) and 5)sqrt (6)-3i I appreciate any help anyone can give me!
Click here to see answer by Theo(13342)  |
Question 1021421: Write the equation -2x + 6y = 9 in polar form.
9sqrt(10)/20 = r cos (theta - 108)
9sqrt(10)/20 = r cos (theta - 72)
7sqrt(10)/20 = r cos (theta - 108)
7sqrt(10)/20 = r cos (theta - 72)
I'm really stuck here so any help would be very much appreciated, thanks!
Click here to see answer by rothauserc(4718)  |
Question 1021755: Complex Zeros and the Fundamental Theorem of Algebra
Please help me and show all work. Thanks in advance.
Given P(x)=x^3+2x^2+4x+8
Write P in factored form (as a product of linear factors). Be sure to write the full equation, including P(x)=
.
Click here to see answer by FrankM(1040)  |
Question 1023348: Suppose there is a bus and on the bus are x girls. Each girl has x bags. In each bag are x cats. With each cat are x kittens. Suppose further that there are 29178 legs on the bus and that all parties have the usual number of legs and that there is no drive on the bus. Find the value of x.
Click here to see answer by robertb(5830)  |
Question 1023542: What is the TRIPLE PRODUCT RULE? Take a derivative of a product of four general functions. State the QUADRUPLE PRODUCT RULE. What do you suppose the Product Rule for the product of ten functions would look like? Explain using correct mathematics language rather than trying to write out a very long formula.
Click here to see answer by ikleyn(52747) |
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