177k views
15 votes
What is n in the equstion?
n^2+n+2=0

2 Answers

3 votes

Answer:

No Solution

Explanation:

The steps are in the (2) pictures below.

What is n in the equstion? n^2+n+2=0-example-1
What is n in the equstion? n^2+n+2=0-example-2
User Ketrox
by
5.4k points
13 votes

✐ Answer:


n^2+n+2=0\quad :\quad n=-(1)/(2)+i(√(7))/(2),\:n=-(1)/(2)-i(√(7))/(2)

✍️Steps:--


n^2+n+2=0


n_(1,\:2)=(-1\pm √(1^2-4\cdot \:1\cdot \:2))/(2\cdot \:1)


n_(1,\:2)=(-1\pm √(7)i)/(2\cdot \:1)


n_1=(-1+√(7)i)/(2\cdot \:1),\:n_2=(-1-√(7)i)/(2\cdot \:1)


(-1+√(7)i)/(2\cdot \:1)


=(-1+√(7)i)/(2)


=-(1)/(2)+(√(7))/(2)


(-1-√(7)i)/(2\cdot \:1)


=(-1-√(7)i)/(2)


=-(1)/(2)-(√(7))/(2)


n=-(1)/(2)+i(√(7))/(2),\:n=-(1)/(2)-i(√(7))/(2)

▭ ▭ ▭ ▭ ▭ ▭ ▭ ▭ ▭

hope it helps...

have a great day!!

⊱⊱⊱⊱⊱⊱⊱⊱⊱

User Mathieu Seiler
by
5.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.