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

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 Question 540721: If arg((z-w)/(z-w^2)) =0,then prove that re(z)=-1/2,where (w and w^2 are non real cube roots of unity) Click here to see answer by richard1234(5390)

 Question 540921: If i represents the imaginary unit, what is the ordered pair of real numbers (x, y) for which x + xi + y – yi = -1 + 7i ? Click here to see answer by Theo(3556)

 Question 541240: Adriana took 2 hrs longer to drive 360 miles on the first day of a trip than she took to drive 270 miles on the second day. If her speed was the same on both days, what was the driving time each day? Click here to see answer by rcscmccc(2)

 Question 541280: Please help me solve and find the solution set x-1 = radical 6x + 10 Click here to see answer by jim_thompson5910(29613)

 Question 541987: how do you rewrite the difference as a sum 8-2x 2xy-6yz 6a(square root)2 b-12b(square root)2 c Click here to see answer by stanbon(60771)

 Question 542210: How many roots does this equation have? x^2-6x+9=0 Click here to see answer by jim_thompson5910(29613)

 Question 542216: i^12 Click here to see answer by Alan3354(34677)

 Question 542215: What is the standard form of (30-i)-(18+6i)? Click here to see answer by jim_thompson5910(29613)

 Question 542325: 3x^2+27=0 Click here to see answer by friesr(113)

 Question 542515: Simplify the complex rational expression. (1/7)-(1/3) / (1/8)-(1/4) Click here to see answer by friesr(113)

 Question 542530: how to solve 8+i/i Click here to see answer by Alan3354(34677)

 Question 542525: Hey, I'm really struggling with this exercise, If |z|=2 and , determine the modulus and argument of Thanks! Click here to see answer by KMST(2478)

 Question 542969: What is the reciprocal of 2i Click here to see answer by Alan3354(34677)
 Question 542969: What is the reciprocal of 2i Click here to see answer by josmiceli(10616)

 Question 543114: what is 1/a+bi Click here to see answer by solver91311(18785)

 Question 543659: I need help with finding the complex number z that satisfies this equation: z*(2-i)=3+i Thank you :) Click here to see answer by ankor@dixie-net.com(16524)

 Question 543830: Express in terms of i. sqrt-8, simplify your answer and put in form a + bi. Click here to see answer by jim_thompson5910(29613)

 Question 543998: 3-3i/4i Click here to see answer by stanbon(60771)

 Question 544045: find the fourth roots of giving your answers in the form a+bi where a and b are real numbers. I have gotten to this point,Z^4=16(COS 5/3 PIE+i SIN 5/3 PIE) i am not sure if am right. Click here to see answer by stanbon(60771)

 Question 543871: In electronics, the state of a circuit element is described by two real numbers (the voltage, V, across it, and the current, I, flowing through it). which (in simplistic terms) describe its tendency to resist changes in voltage and current respectively. These are much better described by complex numbers. Rather than the circuit element's state having to be described by two different real numbers, V and I, it can be described by a single complex number z = V + i*I Similarly, inductance and capacitance can be thought of as the real and imaginary parts of another single complex number w = C + i*L The laws of electricity can be expressed using complex addition and multiplication. 1) A given circuit has 9 volts flowing across it, and 3 amps of current flowing through it. We can express this as a single value, z = 9 + 3i. This same circuit has a capacitance of 7 farads and an inductance of 5 henries, this can also be expressed as a single value, w = 7 + 5i. a) Combine z and w: b) Find the product of z and w: c) Divide z by w: Click here to see answer by bucky(2189)

 Question 544415: What is the absolute value of 1-4i? Click here to see answer by fcabanski(1133)

 Question 544747: Simplify the following quotient of complex numbers into the form a + bi. (-4-3i)/(2-i) Click here to see answer by nyc_function(2741)

 Question 545012: Find the reciprocal of 3-4i/10 Click here to see answer by stanbon(60771)

 Question 546788: how do you solve for a when 15a^2-3a=3-7a? Click here to see answer by scott8148(6628)

 Question 547236: p(x) x^3 -8x^2 + 19x - 12 Click here to see answer by stanbon(60771)

 Question 547275: i have many questions what is the answers to these problems when u divide complex numbers 1/-8-5i, i/-2-8i , 4/-3-6i , -5-9i/9+8i , -5-3i/7-10i , -3-7i/7+10i , - 4+10i/3+4i Click here to see answer by josmiceli(10616)

 Question 547830: what is the product of the complex numbers 4-3i and 3-3i Click here to see answer by josmiceli(10616)

 Question 547853: What is (7+6i)-(4+2i)+(10+10i) in a + bi form? Click here to see answer by josmiceli(10616)
 Question 547853: What is (7+6i)-(4+2i)+(10+10i) in a + bi form? Click here to see answer by solver91311(18785)

 Question 547857: not sure how to make sense of this. what does i = if i^513 Click here to see answer by richard1234(5390)

 Question 548088: Good Evening , I honestly didn't know what category this problem would be under. The problem is asking me to solve by elemination. The problem is 4x-3y=11 3x-5y=-11 both equations are suppose to be under the other one and its one problem not two. Thank you for your time (: Click here to see answer by Maths68(1474)

 Question 548502: 63x^6-27x^3+45x/9x Click here to see answer by mananth(13127)

 Question 548700: solve the equation 2x^2-3x+3=0 and give your answer in simplest a+bi form i need help with this question. ive tried quadratic equation and got to 3+- square root of -15 over 4 but i dont know if that is correct. please help! Click here to see answer by edjones(7794)

 Question 548835: (-3i)(3i)-(2+2i) Click here to see answer by mananth(13127)

 Question 548950: How do I solve z^2(1-z^2)=16? Click here to see answer by stanbon(60771)

 Question 549122: Perform the indicated operation (6+3i)+(2-8i) is the answer 8-5i? Then i dont understand -3(4+3i)-(-9+3i) Click here to see answer by stanbon(60771)

 Question 548737: I need to find all zeros 13x^3-185x^2+608x-580 Click here to see answer by KMST(2478)

 Question 549291: what is the polynomial of least degree that includes the zeroes -5, 1+3i, 1-3i? Click here to see answer by stanbon(60771)

 Question 549307: Factor. 125q^3 + 64r^3 Click here to see answer by mananth(13127)

 Question 549318: Solve. x^4-9x^2+20=0 Click here to see answer by solver91311(18785)

 Question 549314: Find all zeros of g(x)=x^3+3x^2-50x+36 given that -9 is a zero. (No Decimals!) Click here to see answer by Alan3354(34677)

 Question 549316: Find all zeros of h(x)= x³ - 9x² + 19x - 35. Click here to see answer by Edwin McCravy(9717)

 Question 549317: find all of the zeros of j(x)= 7-12x Click here to see answer by Alan3354(34677)