# Questions on Algebra: Complex Numbers answered by real tutors!

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 Algebra: Complex Numbers Solvers Lessons Answers archive Quiz In Depth

 Question 1784: so I can get a answer using complex numbers I am taking Intermediae Algerbra in college and my final is in the moring. I got as far as the answer you gave me but the answer my teacher gave me 2+i and 2-i. I am confused as how she got that answer by using the qudratic equation using (Imagery Solution). Thank you so much I have been struggling over this problem all weekend. Click here to see answer by longjonsilver(2297)

 Question 2171: Hi, when you have something, say 3(2 + i) is that equal to 3(2 + 0i) or 3( 2 + 1i)? Thanks in advance. Click here to see answer by longjonsilver(2297)

 Question 2295: what is: i squared i cubed and i to the fourth power? Click here to see answer by longjonsilver(2297)

 Question 3084: X+Y O (3-2i)+(3+2i)=6 Does O mean to put (3-2i)put into (3+2i)? Click here to see answer by thechamp1011(19)

 Question 3196: how do you find the complex solutions to X^2+2=2x Click here to see answer by mixerimaythyme(7)

 Question 3352: 22 is 80% of what?/ 32 is whatt percent of 56?/ and if x is 8 when y is 18, and x and y vary directly, what is the value of y when x is 10? Click here to see answer by longjonsilver(2297)

 Question 3340: how would you go about solving "i" to the 91st power getting either a positive or negative "i" Click here to see answer by longjonsilver(2297)

 Question 3449: z is an element of C such that [(z)/(z-i)] is real.How can I show that z is imaginary. Click here to see answer by khwang(438)

 Question 4005: I know that i^2 is -1 but what is i^3 and i^4 ? Click here to see answer by longjonsilver(2297)

 Question 4138: Z=1+i√3. Find the smallest positive integer n for which z^n is real and evaluate z^n for this value of n. Show that there is no integral value of n for which z^n is imaginary. Click here to see answer by khwang(438)

 Question 4355: transform the product of (2-i)(-7-3i) to the standard form. Click here to see answer by rapaljer(4667)

 Question 4618: How does one write the complex conjugate for -2+3i? Click here to see answer by longjonsilver(2297)

 Question 4619: What is the abosolute value of 12 - 5i? Click here to see answer by longjonsilver(2297)

 Question 4621: What is (2 - 3i) / (1 - 4i) Click here to see answer by longjonsilver(2297)

 Question 4638: How do you write an equation with one root 2 + 3i? Click here to see answer by longjonsilver(2297)
 Question 4638: How do you write an equation with one root 2 + 3i? Click here to see answer by rapaljer(4667)

 Question 4632: i^91=? This question was asked previously (question 3340), and the given soluttion was to find where i^91 came in the cycle of i. However I learned another way to do it, and I was wondering if it is correct. Take the given question i^91: i^91 = i^90 + 1 = i^90 * i^1 = (i^2)^45*i^1 = -1^45 * i^1 = -1 * i = -i Click here to see answer by longjonsilver(2297)
 Question 4632: i^91=? This question was asked previously (question 3340), and the given soluttion was to find where i^91 came in the cycle of i. However I learned another way to do it, and I was wondering if it is correct. Take the given question i^91: i^91 = i^90 + 1 = i^90 * i^1 = (i^2)^45*i^1 = -1^45 * i^1 = -1 * i = -i Click here to see answer by khwang(438)

 Question 4649: This quadratic equation has no real solution...so does that mean imaginary numbers are involved? How do you solve it? 4x^2 - 3x + 8 = 0 Click here to see answer by rapaljer(4667)

 Question 4672: How does one find the exact value of (-64)^(2/3)? Click here to see answer by xcentaur(357)
 Question 4672: How does one find the exact value of (-64)^(2/3)? Click here to see answer by rapaljer(4667)

 Question 4671: What is the difference between (-16)^(5/4) and -16^(5/4)? Click here to see answer by rapaljer(4667)

 Question 4753: How do you multiply to find the number in standard form of an exponent? Click here to see answer by longjonsilver(2297)

 Question 4786: Hello... I am having some trouble with a proof. I am to use: (a + bi)(a - bi) The problem asks: Show that for a + bi not equal to 0 this product is a positive real number. Thanks for your help. Click here to see answer by ichudov(499)