208k views
0 votes
F(x) = 2x4 – 14x3 + 33x2 – 26x

Given that x = 3 + i is a solution of the equatio
f(x) = 0, solve f(x) = 0 completely.​

User Tzador
by
4.1k points

1 Answer

4 votes

Answer:

x = 0, 2, 5/2 ± 1/2i

Explanation:

I'm not really sure what the question is asking but I'm going to assume you want to find the zeroes of the function.

0 = 2x^4 - 14x^3 + 33x^2 - 26x

~Factor

0 = x(x - 2)(2x² - 10x + 13)

~Set factors to equal 0 and solve

x - 2 = 0

x = 2

2x² - 10x + 13 = 0

~Use quadratic formula

x = 0, 5/2 ± 1/2i

Best of Luck!

User Nono
by
3.5k points