Math  /  Algebra

QuestionUNIT 5 LESSON 14 Complex Numbers Complex Numbers Unit Test
Complex Numbers Unit Test
One of the solutions to the equation x3+5x2+10x+50=0x^{3}+5 x^{2}+10 x+50=0 is -5 . Find the full solution set. Which of the following options correctly describes the solution set?
Option \#1: It has one real solution and two non-real solutions. Option \#2: It has one non-real solution and two real solutions. Option \#3: It has three real solutions. (1 point)

Studdy Solution
Our full solution set is {5,i10,i10}\{-5, i\sqrt{10}, -i\sqrt{10}\}.
This means we have **one real solution** (5-5) and **two non-real solutions** (i10i\sqrt{10} and i10-i\sqrt{10}).
So, Option #1 is correct!

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