2x^2-根号2x-1/2=0

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2x^2-根号2x-1/2=02x^2-根号2x-1/2=02x^2-根号2x-1/2=02x^2-√2x-1/2=04x^2-2√2x-1=0(2x-√2/2)^2=1+1/2(2x-√2/2)^2

2x^2-根号2x-1/2=0
2x^2-根号2x-1/2=0

2x^2-根号2x-1/2=0
2x^2-√2x-1/2=0
4x^2-2√2x-1=0
(2x-√2/2)^2=1+1/2
(2x-√2/2)^2=3/2
2x-√2/2=±√6/2
x=(√2±√6)/4.