what are real solution of the equation |x|^2+2|x|-3=0

Question

anonymous · Answer

graph it

anonymous · Answer

or if you want to do it by analysis, split the absolute value up into two cases where x is negative and where x is positive.

anonymous · Answer

already did it

agent0smith · Answer

Hint: you can drop the absolute value signs on the x^2.. squaring a number makes it positive anyway

kainui · Answer

Solve this for |x| just like you would for x normally. Don't let the little bars fool you, it's almost identical to any other way, use the quadratic formula or complete the square.

kainui · Answer

Dropping the absolute value signs here isn't going to help you.

agent0smith · Answer

you don't need to anyway

just factor it

|x|^2+2|x|-3=0

(|x| + 3) (|x| -1) = 0

kainui · Answer

That's what I'm saying... You're just repeating me and giving useless hints to boot.

agent0smith · Answer

|x| + 3 = 0

|x| -1=0

agent0smith · Answer

"use the quadratic formula or complete the square."
yes i repeated you exactly.

kainui · Answer

Good job you solved a girl's quadratic formula for her without her doing any work.

anonymous · Answer

got it

agent0smith · Answer

x^2+2x-3=0
would factor as
(x + 3) (x -1) = 0 right?

agent0smith · Answer

|x| + 3 = 0

|x| -1=0

keep in mind only one of those has a solution...

anonymous · Answer

so we are going to solve it with out removing absolute values

agent0smith · Answer

well with the two above you need to remove them...

agent0smith · Answer

well one of them, hopefully you'll notice which one has a solution and which doesn't

anonymous · Answer

+-1

agent0smith · Answer

Good :)

anonymous · Answer

can syou show me a complete solution of the equation  i want to confirm

agent0smith · Answer

|x|^2+2|x|-3=0
factor it first... as above
(|x| + 3) (|x| -1) = 0

|x| + 3 = 0 ... |x|  = -3 no solution

|x| -1=0 ... |x| = 1 ... x = 1 or -1

agent0smith · Answer

Post a new question.

anonymous · Answer

http://prntscr.com/276aix

anonymous · Answer

can you help with this one 
i actually measure angle x instead of solving it

ganeshie8 · Answer

find interior angle of pentagon
find exterior angle of pentagon

ganeshie8 · Answer

|dw:1385626244008:dw|

ganeshie8 · Answer

u should be knowing those two angles right ? :)

ganeshie8 · Answer

exterior angle of pentagon = 360/5 = 72

ganeshie8 · Answer

|dw:1385626421307:dw|