已知4x^2-3y^2=7,3x^2+2y^2=19,求代数式18x^2-5y^2
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已知4x^2-3y^2=7,3x^2+2y^2=19,求代数式18x^2-5y^2
已知4x^2-3y^2=7,3x^2+2y^2=19,求代数式18x^2-5y^2
已知4x^2-3y^2=7,3x^2+2y^2=19,求代数式18x^2-5y^2
4x^2-3y^2=7,等式两边同乘以3,
即得12x^2-9y^2=21 ① ,
同理:3x^2+2y^2=19,等式两边同乘以2,
即得6x^2+4y^2=38 ②,
①+②即得18x^2-5y^2=59
已知4x^2-3y^2=7 ①
3x^2+2y^2=19 ②
①×3+②×2得18x^2-5y^2=7×3+19×2=59
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