Algebra 2

posted by .

When dealing with imaginary and complex numbers, are there 2 solutions?

I.e.: x^2=4
x=2,-2

For: x^2=-4
x=2i or -2i ?

(Is there a 2i and -2i, like for real numbers?)

  • Algebra 2 -

    try it

    (2i)^2 = 4 i^2 = 4(-1) = -4
    (-2i)^2 = 4 i^2 = 4(-1) =-4 sure enough

    In other words, yes

  • Algebra 2 -

    Thank you!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra

    question The square root of a negative number is imaginary. That is you cannot find, for example, sqrt(-49) . Why?
  2. Math

    i^6 = (i^2)^3 = (-1)^3 = -1 The square, not the square root of -1 is 1. :) B.t.w., can you prove that -1 times -1 is 1?
  3. algebra2-imaginary numbers

    You can add or subtract complex numbers by treating the i as a variable and combining like terms. I am having a lot of trouble figuring out these equations with imaginary numbers. 1. (3+2i)+(7-i)= 2.(1-6i)+(2-i)= 3. (2+i)-(3+i)= 4.(4+i)-(2-i)= …
  4. Maths

    use the formula cos(x+iy)=cosxcosiy-sinxsiniy to find two imaginary numbers whose cosine is 3 cos(x+iy)=cosxcosiy-sinxsiniy = cos(x)cosh(y) - i sin(x)sinh(y) = 3 Equating imaginary parts gives: sin(x)sinh(y) = 0 You know that y cannot …
  5. Algebra

    The function 5x^2+2x-1's domain is all real numbers, according to the answer key. However, I don't know how to factor this to prove it. Could you show me?
  6. Math

    Factor the polynomial as the product of factors that are irreducible over the real numbers. Then write the polynomial in completely factored form involving complex nonreal or imaginary numbers. x^4 + 20x^2 -44=0
  7. Algebra 2 help :)

    Any number in the form of a+-bi , where a and b are real numbers and b not equal 0 is considered a pure imaginary number. TRUE OR FALSE The minimum value is the smallest y-value of a function. T RUE OR FALSE i2 = square root of -1. …
  8. Math

    Find the real and imaginary parts of the following complex numbers: (i) 1.5e^jπ/4 (ii) je^1.2 + j^2 e
  9. Precalc

    To which set(s) of numbers does the number sqrt -16 belong?
  10. Math... with complex numbers

    Complex numbers are often used when dealing with alternating current (AC) circuits. In the equation V = IZ, V is voltage, I is current, and Z is a value known as impedance. If V = 1+i and Z=2-$, find I.

More Similar Questions