已知4x^2-3y^2=12,3x^2+2y^2=21,求代数式14x^2-2y^2的值.
问题描述:
已知4x^2-3y^2=12,3x^2+2y^2=21,求代数式14x^2-2y^2的值.
答
4x^2-3y^2=12,3x^2+2y^2=21
两式相加,
7x^2-y^2=12+21=33
14x^2-2y^2
=2(7x^2-y^2)
=2*33
=66