A question about the number of solutions for

Max Grant

Max Grant

Answered question

2022-03-16

A question about the number of solutions for the following equation:
z2+(1i)z3i=0
So the solutions are:
z1,2=1+i±10i2
But 10i has two options with itself: 5+5i and 55i , so the equations has 4 solutions?

Answer & Explanation

Pentyrch9ci

Pentyrch9ci

Beginner2022-03-17Added 9 answers

No, just 2 solutions. The ±Δ is to make reference at the two square root of Δ. Actually, as you can see, if you take the two square root, you will arrive two time twice at the same value (and thus in your 4 solutions, you will have the same solutions two times.
obduciramwz6

obduciramwz6

Beginner2022-03-18Added 8 answers

use this formula to get the all roots
12(1+i)2=i
12(1+i)2=i
12|1+i|=i
for your question,
10i=102|1+i|=5|1+i|
10i=±5(1+i)

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