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

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 Algebra: Complex Numbers Solvers Lessons Answers archive Quiz In Depth

## Tutors Answer Your Questions about Complex Numbers (FREE)

 Question 72710: need help in finding out g(-2) when g(x)= sqrt 5-x + 2. Another question is sqrt -36 the same as -sqrt 36. would answer still be 6i? One last question: sqrt -36 divided by sqrt -9. Is answer -2? Thank you Click here to see answer by rmromero(383)

 Question 72900: determine the type of solution considering only its discriminant x^2-9=0 4x^2+16x=0 Click here to see answer by bucky(2189)

 Question 72987: can someone tell me if this problem is right simplify (4+i)(6-3i)= 24-12i+6i-3i^2 = 24-12i+6i-3(-1) = 24-6i+3 = 27-6i Click here to see answer by funmath(2925)

 Question 73012: Click here to see answer by rmromero(383)

 Question 71550: Write the expressions as a complex number in standard form a) 4i(6-i) b) (5+i)(8+i) c) (2-9i)(9-6i) d) (3+10i)^2 Click here to see answer by tran3209(100)

 Question 73191: Please help, this is a complex fraction 12x + 16 + 5/x over 18x - 27 - 35/x Do I use x as a LCD, ?? 12x^2 + 16x + 5 over 18x^2 -27x -35 or would the x's cancel on the 12 and 18???????????? Please walk me through. Click here to see answer by bucky(2189)

 Question 73309: can you please help me solve this: (2y^3z^2)(6y^4) Click here to see answer by checkley75(3666)

 Question 73945: Plz solve this... 1) If the arithematic mean between two numbers is twice there geometric mean then prove that the ratio of 2 nos. is (2+sqrt3):(2-sqrt3) Click here to see answer by stanbon(57347)

 Question 74239: Three adjacent faces of a box (a rectanhular parallelepiped or prism)have areas of 7, 14, and 18 square inches. Find the volume of the box. Click here to see answer by stanbon(57347)

 Question 74210: how do i simplify 2+8i/3i Click here to see answer by stanbon(57347)

 Question 74463: (7-4i)-(-3+6i) Click here to see answer by Cintchr(481)

 Question 74597: The base of a regular square pyramid is inscribed in the base of a cylinder. The height of the cylinder is triple the height of the pyramid. Find the ratio of the volume of the pyramid to the volume of the cylinder. Click here to see answer by scott8148(6628)

 Question 75036: 10^100 is a googol. What does 1000^100 equal in terms of a googol? Click here to see answer by checkley75(3666)

 Question 75037: The operation @ is defined as @(a) = a^2 + 4a -4, for any real number a. Find the value(s) of a for which @(a)= a. Click here to see answer by stanbon(57347)

 Question 75085: how do you simplify the complex fraction Click here to see answer by Edwin McCravy(8909)

 Question 75328: can you please help me solve this: a^2 + 4a + 21 Click here to see answer by Earlsdon(6287)

 Question 75362: What is the derivative of 8x^3/2-12x^-1/2? Answer is 8/15(5x-2)^3/2. Not sure how they got the answer. Please help. Click here to see answer by rmromero(383)

 Question 75361: The function 4x+3/x is an anti derivative of g(x). Then g(1) is closest to? The answer is 1. im not sure how they got this answer. Any help is appreciated. Click here to see answer by rmromero(383)

 Question 75360: Let f(x)=2x+3/x. What is the anti derivative of f(x)? The answer is x^2+3ln(|x|). I cant figure how they got the answer. Any help would be greatly appreciated. Click here to see answer by rmromero(383)

 Question 75327: can you please help me solve this: a^2 + 4ab - 3b^2 Click here to see answer by josmiceli(9678)

 Question 75436: can you please help me Factor the Following Quadratic: 7a^2 + 17a + 6 Click here to see answer by funmath(2925)
 Question 75436: can you please help me Factor the Following Quadratic: 7a^2 + 17a + 6 Click here to see answer by Earlsdon(6287)

 Question 75526: what are all solutions of x^2-10x+3=0 Click here to see answer by checkley75(3666)

 Question 75531: What are all solutions of 3/4(x+1)^2=9 Click here to see answer by chitra(359)

 Question 75529: what quadractic function represents a porabola whose vertex is at (6,1) and passes through (4,9) Click here to see answer by Edwin McCravy(8909)

 Question 75622: Right triangle ABC has legs with lengths 19 and 95 units. The triangle is to be rotated in space about one of its three sides. What is the maximum possible volume of the resulting solid? Click here to see answer by ankor@dixie-net.com(15652)

 Question 75874: What is the sum of the digits of the decimal form of the product 2^1999 * 5^2001? Click here to see answer by Edwin McCravy(8909)

 Question 75873: Melissa is driving a sports utility vehicle along the interstate at a constant speed of 55 mph. A sports car one-half mile behind her that is moving at a constant speed passes her in 60 seconds. How many miles per hour is the speed of the sports car? Click here to see answer by checkley75(3666)

 Question 75943: Can you please help me in simplifying this complex fraction? x-3/x+3 + x+3/x-3 ___________________ x-3/x+3 - x+3/x-3 Click here to see answer by funmath(2925)

 Question 75942: Please help me in simplifying complex fractions: x-xy -¹ / 1 + x/y Click here to see answer by funmath(2925)

 Question 76463: For what value(s) of the coefficient a do the equations x^2-ax + 1=0 and x^2-x+a=0 have a common real solution? Click here to see answer by ankor@dixie-net.com(15652)

 Question 76492: ```evaluate the power of I used the power rule, but can't get to the book's answer. Click here to see answer by Edwin McCravy(8909)  ```

 Question 76629: x sqrt 18 - 3 sqrt 8x^2 Click here to see answer by stargrl12566(16)

 Question 76717: Can you help me Factor the Following Quadratics 7a^2 + 17a + 6 Thanks Click here to see answer by jim_thompson5910(28595)

 Question 76933: Good Morning, 20 over Cube Root of 5 Thank you, Nicole Click here to see answer by Edwin McCravy(8909)

 Question 76932: Hello, #25 Square root of 2X + 3 = 2X - 3 Thank you, Lauren Click here to see answer by Edwin McCravy(8909)

 Question 78544: A quart bottle contains a mixture that is 1/3 antifreeze and 2/3 water. A half-gallon bottle contains a mixture that is 3/4 antifreeze and 1/4 water. The contents of the two bottles are poured into a gallon jug. In the form a:b, what is the ratio of antifreeze to water in the jug? Click here to see answer by ankor@dixie-net.com(15652)

 Question 78682: express .1727272 as a common fraction in lowest terms Click here to see answer by checkley75(3666)

 Question 78677: find the decimal representation of 5/13 Click here to see answer by checkley75(3666)

 Question 78732: i equals the square root of negative 1, what would be the location of 5-2i on a plane? Click here to see answer by stanbon(57347)

 Question 78944: I need to find the quotient for 2+i over 1+3i. I know about multiplying by the conjugate, and I get 5-5i over 10, which simplifies to 1-i over 2. Is this the same as 1/2-1/2 i? (This is not a textbook problem, rather it is a take-home test. My teacher said we could use the internet.) Click here to see answer by tutor_paul(490)

 Question 79297: A dog is tethered to the corner of a ten-foot-by-ten-foot square pen by a leash that is 14 feet long. In how much area outside the pen can the dog roam? Click here to see answer by stanbon(57347)

 Question 79575: Please help me solve (x-1)²=-7 Click here to see answer by checkley75(3666)

 Question 79723: Finding the derivative using the defintion? hi i would like to find out how to solve this problem. i would like to find the derivative of the function using the definition of the derivative and state the domain of the function and the domain of its derivative g(x) = 1/x^2 thanks for any help. it is very much appreciated Click here to see answer by jim_thompson5910(28595)

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