How do you factoriee 2x√2-x+1/8

1.	How do you factoriee 2x√2-x+1/8
Answer» Question :\xa0Factorise 2x^2 - x + 1/8 =0 using splitting the middle term.Answer :Given Quadratic equation:2x²-x+1/8\xa0=\xa00Multiply each term by\xa08\xa0we get=>\xa016x²\xa0-\xa08x\xa0+\xa01\xa0=\xa00Splitting the middle term,we get=> 16x²\xa0-\xa04x\xa0-\xa04x\xa0+ 1 = 0=> 4x(4x-1)-1(4x-1)=0=>\xa0(4x-1)(4x-1)=0=>\xa04x-1=0\xa0or\xa04x-1 = 0=>\xa04x\xa0=\xa01\xa0or 4x = 1=>\xa0x\xa0=\xa01/4\xa0or x = 1/4Therefore,Roots of the quadratic equation are\xa01/4\xa0,\xa01/4

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