What is the value of x in (x-2)^2+3x-2=(x+3)^2?

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Answer 1 · 2018-06-03T11:37:51

#color(magenta)(=>x=-1#

# (x-2)^2+3x-2=(x+3)^2#

Using Identities:

#color(red)(=>(a-b)^2=a^2-2ab+b^2#

#color(red)(=>(a+b)^2=a^2+2ab+b^2#

We have, #[x^2-2(x)(2)+2^2]+3x-2=[x^2+2(x)(3)+3^2]#

#=>cancelx^2-4x+4+3x-2=cancelx^2+6x+9#

#=>-4x+4+3x-2=6x+9#

#=>-4x+3x-6x=9-4+2#

#=>-7x=7#

#=>x=-7/7#

#color(magenta)(=>x=-1#

~Hope this helps! :)