已知x=√3+√2/√3-√2,Y=√3-√2/√3+√2,求代数式3x�0�5-5xy+3y�0�5的值
1个回答
2013-08-06
展开全部
x=√3+√2/√3-√2
=(√3+√2)^2/(√3-√2)(√3+√2)
=5+2√6
y=(√3-√2)/(√3+√2)
=(√3-√2)^2/(√3+√2)(√3-√2)
=5-2√6
3x�0�5-5xy+3y�0�5
=3(x-y)^2+xy
=3(5+2√6-5+2√6)^2+(5+2√6)(5-2√6)
=3*96+1
=289
=(√3+√2)^2/(√3-√2)(√3+√2)
=5+2√6
y=(√3-√2)/(√3+√2)
=(√3-√2)^2/(√3+√2)(√3-√2)
=5-2√6
3x�0�5-5xy+3y�0�5
=3(x-y)^2+xy
=3(5+2√6-5+2√6)^2+(5+2√6)(5-2√6)
=3*96+1
=289
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询