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

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 Algebra: Complex Numbers Solvers Lessons Answers archive Quiz In Depth

 Question 170874: well i have to solve this equation: x^2-6x+25 and put it in a+bi form. can you please show me how to do this Click here to see answer by jim_thompson5910(28715)

 Question 170946: Hello, I am a the daughter of some missionaris to Mexico, and am teaching myself algebra. I am having a hard time understanding about Pure Imaginary Numbers. My text book is telling me that i^2=-1, i^3=-i, i^4=1, and so on. I don't understand how they are getting that because they aren't telling me. Could you please help me? I am sure it is pretty simple, but I can't figgure it out! Click here to see answer by Mathtut(3670)
 Question 170946: Hello, I am a the daughter of some missionaris to Mexico, and am teaching myself algebra. I am having a hard time understanding about Pure Imaginary Numbers. My text book is telling me that i^2=-1, i^3=-i, i^4=1, and so on. I don't understand how they are getting that because they aren't telling me. Could you please help me? I am sure it is pretty simple, but I can't figgure it out! Click here to see answer by Earlsdon(6294)

 Question 171035: how can I solve this problem? 2i ______ 1-i Click here to see answer by gonzo(654)

 Question 171057: Write the expression as a complex number in standard form. (2+i)+(3+2i) Click here to see answer by stanbon(57967)
 Question 171057: Write the expression as a complex number in standard form. (2+i)+(3+2i) Click here to see answer by gonzo(654)

 Question 171058: Write the expression as a complex number in standard form. 1-i ______ 2+2i Click here to see answer by stanbon(57967)

 Question 171088: Write the expression as a complex number in standard form. 2i(4+i) The answer I got was 8+6i. Click here to see answer by Earlsdon(6294)

 Question 171099: Write the expression as a complex number in standard form. 2i-(2+3i)+(1-8i) When I solved it: 2i-1(3-5i)then -3-10i Click here to see answer by scott8148(6628)

 Question 171398: Write the expression as a complex number in standard form. -(3+i)(7-3i) Click here to see answer by jim_thompson5910(28715)
 Question 171398: Write the expression as a complex number in standard form. -(3+i)(7-3i) Click here to see answer by Mathtut(3670)

 Question 171420: Using the properties of exponents,write the complex numberin standard form. 3+i^3 Click here to see answer by jim_thompson5910(28715)

 Question 171415: Using the properties of exponents,write the complex number in standard form. 1+i16 Click here to see answer by stanbon(57967)

 Question 171399: Write the expression as a complex number in standard form. 1+2i ____ √2+i Click here to see answer by stanbon(57967)

 Question 171432: (3to sq. root of 3 + sq. root of 15) squared Click here to see answer by Alan3354(31522)

 Question 171743: (a+bi)(a-bi) Click here to see answer by stanbon(57967)

 Question 172069: simplify (3+3i)/(5+2i) Click here to see answer by Alan3354(31522)
 Question 172069: simplify (3+3i)/(5+2i) Click here to see answer by stanbon(57967)

 Question 172054: find the additive inverse of each number: -4+6i. find the absolute value of each complex number: 6i solve each quadratic equation: -x^2+5x-2=0, x^2-8x+7=0 i know the first two are pretty simple, i'm just not sure exactly how to do them. and the last two i am completely confused on them :( Click here to see answer by solver91311(17077)

 Question 172119: I need help finding the solution to this problem (solve for y): Sqrt(y) + 4 = 2 I know you subtract the 4 from both sides, leaving: Sqrt(y) = -2 and after that, I know it has something to do with the number "i" but I am lost! Help please! Click here to see answer by stanbon(57967)
 Question 172119: I need help finding the solution to this problem (solve for y): Sqrt(y) + 4 = 2 I know you subtract the 4 from both sides, leaving: Sqrt(y) = -2 and after that, I know it has something to do with the number "i" but I am lost! Help please! Click here to see answer by Earlsdon(6294)

 Question 172426: Use the quadratic formula to solve the equation. 2(x-3)^2=-2x+9 Click here to see answer by jim_thompson5910(28715)

 Question 172626: i'm dealing with symplifing imaginary nubers. how do you solve 7-6i/-3+4i? please show work. Click here to see answer by rosstutoring_93(3)

 Question 172644: -4(k-8)²=16 Click here to see answer by Alan3354(31522)
 Question 172644: -4(k-8)²=16 Click here to see answer by jim_thompson5910(28715)

 Question 172654: the area of the playground is 96 square yards. complete the square to find the value of x. the length of the playground is x+15 and the width is x+5. Click here to see answer by nerdybill(7008)

 Question 172666: 6i÷1-2i Click here to see answer by stanbon(57967)

 Question 172683: xsquared-7=14-2xsquared Click here to see answer by Alan3354(31522)

 Question 172672: write the expression as a complex number in standard form. 6i÷1-2i Click here to see answer by Alan3354(31522)

 Question 172679: Write the expression as a complex number in standard form (7-4i)+(8+6i) Click here to see answer by solver91311(17077)

 Question 172686: i really need help with this. i thought to have an equation in vertex form and to find the vertex you had to have a y variable but in this equation there is no y. Please help me it will be much appreciated. Write the quadratic function in vertex form. Then, identify the vertex. x^2-8x+11=0 Click here to see answer by Mathtut(3670)

 Question 173072: (-3y²z³) ³ Click here to see answer by jim_thompson5910(28715)

 Question 173147: Solve the equation by either factoring or taking square roots. I'm a bit confused because there isn't a 'c' to factor, which is the style I prefer. Click here to see answer by Alan3354(31522)

 Question 173220: What is the complex conjugate of (7-8i) Click here to see answer by user_dude2008(1861)

 Question 173218: What does the product (4+7i)(2-5i) equal? What does the quotient (1+4i)/(5-2i) equal? Click here to see answer by jim_thompson5910(28715)

 Question 173399: Factor the quadratic equation. Like my last question, I don't understand how one can get the factors of -4 and then find the sum of -19 with those factors. Click here to see answer by Mathtut(3670)

 Question 173398: Factor the quadratic equation. 3x^2+13x-10 From what I know, one has to find the factors of -10, which are 2 and 5, and 10 and 1, including the negatives. After that, I think one has to find the sums that equal 13x, but I don't see how that would be possible. Click here to see answer by Mathtut(3670)
 Question 173398: Factor the quadratic equation. 3x^2+13x-10 From what I know, one has to find the factors of -10, which are 2 and 5, and 10 and 1, including the negatives. After that, I think one has to find the sums that equal 13x, but I don't see how that would be possible. Click here to see answer by solver91311(17077)

 Question 173987: Using the graph of f(x)=x^2 as a guide, describe the transformations, and then graph each function. g(x)=-3(x-2)^2 This the one im havin problem with. hope you can help. i have to tell weather its compress or stretched verticly or horazonaly. Have a great day Click here to see answer by solver91311(17077)

 Question 174249: I have a complex fraction: This fraction is the numerator: x/x+1 The denominator is: 1/x(exponent 2)-1 MINUS 1/x-1 Im pretty sure you have to find the LCD, but I don't know where to go from here. Thank you for any help. Click here to see answer by stanbon(57967)

 Question 174661: I have two questions that I missed on a test. Will someone please help me. 1. The sum of a number and 17 more than twice the same number is 101. Find the number. I came up with 67. 2. Write an equation in slope-intercept form for the line that passes through (3,5) and (-2,1). I must show my work to get credit for these two problems. Thanks Click here to see answer by Alan3354(31522)

 Question 174674: Betty has 10 more dimes than quarters. If she has \$3.45, how many quarters does she have and how many dimes does she have? Click here to see answer by stanbon(57967)

 Question 174680: how do you simplify 8/2+ the square root of 6? Click here to see answer by Alan3354(31522)

 Question 174682: how do you simplify the square root of 3 over the square root of 6? Click here to see answer by Alan3354(31522)

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