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已知x=根号2分之3-根号3,则4x2-4x-2017=
已知x=√(3/2)-√3,则
4x2-4x-2017
=4x(√(3/2)-√3)^2-4x(√(3/2)-√3)-2017
=4x(1.5+3-3√2)-4√3x(√0.5-1)-2017
=4x(4.5-3√2)-4√3x(√0.5-1)-2017
=18-12√2-4√1.5+4√3-2017
=18-2017-12√2-4√1.5+4√3
=-1999-12√2-4x(√(6/4))+4√3
=-1999-12√2-2√6+4√3
已知x=√(3/2)-√3,则
4x2-4x-2017
=4x(√(3/2)-√3)^2-4x(√(3/2)-√3)-2017
=4x(1.5+3-3√2)-4√3x(√0.5-1)-2017
=4x(4.5-3√2)-4√3x(√0.5-1)-2017
=18-12√2-4√1.5+4√3-2017
=18-2017-12√2-4√1.5+4√3
=-1999-12√2-4x(√(6/4))+4√3
=-1999-12√2-2√6+4√3
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