数学题下图求过程答案
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一个常数项为 3, 则另一个常数项为 -8.
若是 (x+py+3)(x+qy-8) = x^2+(p+q)xy+pqy^2-5x+(3q-8p)y-24,
则 p+q = 7, pq = a, 3q-8p = 43, 解得 p = -2, q = 9, a = -18。
若是 (x+py-8)(x+qy+3) = x^2+(p+q)xy+pqy^2-5x+(3p-8q)y-24,
则 p+q = 7, pq = a, 3p-8q = 43, 解得 q = -2, p = 9, a = -18。
故有 a = -18
若是 (x+py+3)(x+qy-8) = x^2+(p+q)xy+pqy^2-5x+(3q-8p)y-24,
则 p+q = 7, pq = a, 3q-8p = 43, 解得 p = -2, q = 9, a = -18。
若是 (x+py-8)(x+qy+3) = x^2+(p+q)xy+pqy^2-5x+(3p-8q)y-24,
则 p+q = 7, pq = a, 3p-8q = 43, 解得 q = -2, p = 9, a = -18。
故有 a = -18
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