Roots of Complex Numbers - Page 4

Questions
  • Find the square roots of the complex number. (Enter your answers as a comma-separated list. Round terms to four decimal places.) ?
  • Solve for #n#, #(-1/2+ iota sqrt(3)/2)^3 + (-1/2-iota sqrt(3)/2)^(2n)=2# ?
  • How do you find all solutions to #x^4-81=0#?
  • How do you find all solutions to #x^5+243=0#?
  • How do you use DeMoivre's Theorem to find #(1+i)^20# in standard form?
  • Am I wrong about this?
  • How do you evaluate #\sqrt { - 81} + \sqrt { 49}#?
  • How do you find all solutions to #x^3+1=0#?
  • How do you find the fifth root of #32(cos((5pi)/6)+isin((5pi)/6))#?
  • How do you solve #(x-3)^3-50=75#?
  • What is #sqrt(-16)#, written in the form #a+bi#?
  • How do you write #-5sqrt(-12)# in #a+bi# form?
  • The roots of #x^2 + 2x + c = 0# differ by #4i#. What are the roots, and what is the value of #c#?
  • How can I simplify #((f^-16)/(256g^4h^-4))^(-1/4)#?
  • How do you solve #\log _ { 2} ( x ^ { 3} + x ^ { 2} + 1) = 2#?
  • How do you solve #(x+5)^4 = 81#?
  • How do you solve #root4(y-9) +4 = 0#?
  • What is the sum of #sqrt(-81)# and #3sqrt(-25)#?
  • How do you write a quadratic equation with #(-3 +- 2isqrt5)/4# as its roots, in the form of #ax^2 + bx +c = 0#, where #a, b, c# are integers?
  • The equation 4x²+8x-1=0 has its roots as alpha and beta.find the valuesof 1/alpha²+1/beta²?