solve the equation
x^2 = 95-168i using complex numbers.
2007-11-22 09:50:36 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
convert 95-168i into polar form
r = sqrt(95^2+168^2)=193
a = arctan(-168/95) = -61
z^2 = 193(cos(-61)+isin(-61))
z= sqrt(193)(cos(-30.5)+isin(-30.5))
z = 13.9(0.86-0.51i)
=11.95-7.1i
2007-11-22 10:05:40 · answer #1 · answered by norman 7 · 0⤊ 0⤋
you already have a good answer but i think if you use the trigonometric form of complex numbers it will be much easier
search in books look for exercises the more you do the better you will become
2007-11-22 18:08:15 · answer #2 · answered by Armando M 2 · 0⤊ 0⤋
x^2 = 95 -168 = - 73
so
x = +or- sqrt(- 73)
= + sqrt(73) i or - sqrt(73) i
where
i = sqrt(-1), the imaginary unit
and
sqrt(73) = 8.544
2007-11-22 17:55:42 · answer #3 · answered by vlee1225 6 · 0⤊ 2⤋