How do you solve x^2+22x+121=0?

1 Answer
Jim G.
Jun 23, 2018

x=-11 " (multiplicity 2)"

Explanation:

"this is a "color(blue)"perfect square"

•color(white)(x)(a+-b)^2=a^2+-2ab+b^2

"with "a=x" and "b=11

2ab=2xx x xx11=22x

(x+11)^2=0

(x+11)(x+11)=0

rArrx=-11" of multiplicity 2"

Related questions
See all questions in Comparing Methods for Solving Quadratics
Impact of this question
4970 views around the world
You can reuse this answer
Creative Commons License