当x=5时,ax5+bx3+cx+2=8,那么当x=-5时,ax5+bx3+cx-3的值为________.
网友回答
-9
解析分析:由于x=5时,ax5+bx3+cx+2=8,把x=5代入ax5+bx3+cx+2=8中,可以解得55a+53b+5c的值,然后把x=-5代入所求代数式,整理得到55a+53b+5c的形式,然后将55a+53b+5c的值整体代入.
解答:∵x=5时,ax5+bx3+cx+2=8,
∴55a+53b+5c=6,
当x=-5时,
ax5+bx3+cx-3,
=-55a-53b-5c-3,
=-(55a+53b+5c)-3,
=-6-3,
=-9.
故