x^4-(50/(z))=14 equation
The teacher will be very surprised to see your correct solution 😉
The solution
_________
/ 50
x_1 = -I*4 / 14 + --
\/ z
x1=−i414+z50
_________
/ 50
x_2 = I*4 / 14 + --
\/ z
x2=i414+z50
_________
/ 50
x_3 = -4 / 14 + --
\/ z
x3=−414+z50
_________
/ 50
x_4 = 4 / 14 + --
\/ z
x4=414+z50
Sum and product of roots
[src]
_________ _________ _________ _________
/ 50 / 50 / 50 / 50
-I*4 / 14 + -- + I*4 / 14 + -- + -4 / 14 + -- + 4 / 14 + --
\/ z \/ z \/ z \/ z
(−i414+z50)+(i414+z50)+(−414+z50)+(414+z50)
_________ _________ _________ _________
/ 50 / 50 / 50 / 50
-I*4 / 14 + -- * I*4 / 14 + -- * -4 / 14 + -- * 4 / 14 + --
\/ z \/ z \/ z \/ z
(−i414+z50)∗(i414+z50)∗(−414+z50)∗(414+z50)
−14−z50