数学题。如下,主要是分析过程,谢谢
2个回答
2014-12-28
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分子:
x⁴-6x³-2x²+18x+23
=x²(x²-8x+15)+2x³-17x²+18x+23
=x²(x²-8x+15)+2x(x²-8x+15)-x²+8x-15-20x+38
原式=(x²+2x-1)-(20x-38)/[(x-3)(x-5)]
=(4-√3+1)²-2-[20(4-√3)-38] /[(4-√3-3)(4-√3-5)]
=(5-√3)²-2-(42-20√3)/[(1-√3)(-1-√3)]
=25-10√3+3-2+(42-20√3)/(-2)
=26-10√3-21+10√3
=5
x⁴-6x³-2x²+18x+23
=x²(x²-8x+15)+2x³-17x²+18x+23
=x²(x²-8x+15)+2x(x²-8x+15)-x²+8x-15-20x+38
原式=(x²+2x-1)-(20x-38)/[(x-3)(x-5)]
=(4-√3+1)²-2-[20(4-√3)-38] /[(4-√3-3)(4-√3-5)]
=(5-√3)²-2-(42-20√3)/[(1-√3)(-1-√3)]
=25-10√3+3-2+(42-20√3)/(-2)
=26-10√3-21+10√3
=5
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