分解因式(x²+5x+3)(x²+5x+23)+K=(x²+5x-K)²求K
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分解因式(x²+5x+3)(x²+5x+23)+K=(x²+5x-K)²求K
分解因式(x²+5x+3)(x²+5x+23)+K=(x²+5x-K)²求K
分解因式(x²+5x+3)(x²+5x+23)+K=(x²+5x-K)²求K
(x²+5x+3)(x²+5x+23)+K=(x²+5x-K)²求K
常数项 = 3x23k = k²
3x23k - k² =0
k ( 69-k) = 0
k = 0 或者 k = 69
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(x²+5x)²+26(x²+5x)+69+k=(x²+5x-K)²
∴69+k=(26/2)²=169
∴k=100
∴K=-13