Factorise the 5
5m + 5n = 5(m+n)
579/3 fist you divid 5 by 3 than you subtract them and get two than you bring down your seven and have 27 divided by 3 and that is 9. than you bring down your last number and than you come up with an answer of 193.
First convert the complex number to polar form
|5 - 5sqrt3i| = 25sqrt10
argument = arctan - sqrt3 = -pi/3
so 5 - 5sqrt3i = 25sqrt10(cos(-pi/3) + i sin(-pi/3))
the angle is in the 4th quadrant so we could write it as 2pi-pi/3 = 5p/3
= 25sqrt10(cos 5pi/3 + i sin 5pi/3)
Now if r(cosx + isin x) is a 5th root of 5-5sqrt3i then
r^5(cos x + i sinx)^5 = 25sqrt10(cos 5pi/3 + i sin 5pi/3)
r^5 = 25sqrt10 and cos5x + i sin 5x = cos 5pi/3 + i sin 5pi/3
i have to go urgently so i have to leave it to you to finish this
Answer:
2.458
Step-by-step explanation:
