SOLUTION: If {{{ (3/2 + isqrt(3)/2)^50 = 3^25(x + iy) }}} where x and y are real numbers then find x and y? Note: Here sqrt(3) means square root of 3.

Question 1184218: If where x and y are real numbers then find x and y?
Note: Here sqrt(3) means square root of 3.
Found 2 solutions by ikleyn, robertb:
Answer by ikleyn(52873) (Show Source): You can put this solution on YOUR website!
.
If where x and y are real numbers then find x and y?
Note: Here sqrt(3) means square root of 3.
~~~~~~~~~~~~~~~

The number has the modulus r = = = = and the argument a = . THEREFORE, = . Hence, the left side number is equal to = = . It implies that x + iy = = . So x = , y = . ANSWER

Solved.

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!

=
By comparing the last term in the chain of equality with , it follows that and .
RELATED QUESTIONS
solve the following equation for real numbers x and y.... (answered by ikleyn)
Given (x+iy)(3-i)=-i , where x and y are real numbers.Determine x and y... (answered by josgarithmetic)
Q.1 If {{{ (x+iy)^(1/3)=a+ib }}} then show that {{{ 4(a^2 - b^2)=x/a + y/b }}} Q.2... (answered by KMST)
i am having trouble solving: find real numbers x and y if: (x+i)(3-iy)= 1+13i i have... (answered by tommyt3rd)
if (x+iy)^3=y+vi then show that... (answered by josgarithmetic)
If {{{sqrt(3x)+4-4x=y}}} and {{{x=3}}}, what is |x+y|? Note: "|x+y|" means the... (answered by josgarithmetic)
(x-iy)(x+iy), where x and y are real numbers. Give your final answer in the form... (answered by josgarithmetic)
Find all real zeros of the function y=x^3 - 2 x^2 - 25 x +50. (answered by ikleyn)
Given that √(x + iy) = a + ib, so that x = a^2 + b^2, y = 2ab and find a and b if x (answered by ikleyn)