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Sin^4 x/2+cos^2x=2

sin^4x/2+1+cos2x/2=2sin^4x+1+cos2x=1sin^4x+1+cos^2x-sin^2x=1sin^4x+1+1-sin^2x-sin^2x-1=0sin^4x-2sin^2x+1=0sin^2x=aa^2-2a+1=0D=0a=1sin^2x=12x=п/2+2пк х=п/4+пк, к€Z