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设x1,x2是方程x2+x-4=0的两个实数根,则x13-5x22+10=______
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∵x1,x2是方程x2+x-4=0的两个实数根,
∴x12=4-x1,x22=4-x2.且x1+x2=-1.
则x13-5x22+10
=x1?(4-x1)-5(4-x2)+10
=4x1-(4-x1)-20+5x2+10
=5(x1+x2)-14
=-5-14
=-19.
故答案是:-19.
∴x12=4-x1,x22=4-x2.且x1+x2=-1.
则x13-5x22+10
=x1?(4-x1)-5(4-x2)+10
=4x1-(4-x1)-20+5x2+10
=5(x1+x2)-14
=-5-14
=-19.
故答案是:-19.
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