Math, asked by bhapriyanka3, 6 months ago

find 'k' for which following equation have 4 solution |x-1|-2|x|+|2x+1|=k​

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Answered by Anonymous
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Answer:

|x-1|-2|x|+|2x+1|=k

x+1-2x+2x+1=k

x+1+1=k

x+2=k

k=x+2

k-x=2

therefore now let k and x be a and b

therefore a-b =2

therefore we can write it as a-(a-b)=2

a-(a-b)=2

a-a+b=2

therefore a and a been cancelled therefore now

b=2

therefore a=a-a=0and b=2

therefore k=0and x=2

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