已知x的平方-2x-8=0.是求代数式2x的立方-3x的平方-18x+5的值.(步骤要完整)急.急························
问题描述:
已知x的平方-2x-8=0.是求代数式2x的立方-3x的平方-18x+5的值.(步骤要完整)
急.急························
答
x²-2x-8=0
(x-4)(x+2)=0
解得x=4,或x=-2
当x=4时,2x³-3x²-18x+5
=2×4³-3×4²-18×4+5
=128-48-72+5
=13
当x=-2时,2x³-3x²-18x+5
=2×(-2)³-3×(-2)²-18×(-2)+5
=-16-12+36+5
=13
所以代数式2x的立方-3x的平方-18x+5的值为13
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答
2x的立方-3x的平方-18x+5
=2x﹙x²-2x-8﹚+x²-2x+5
=2x×0+x²-2x-8+8+5
=0+13
=13