本周习题: 1.解方程组: 1) 2) 3) 4) 5) 6)
2.已知:y=ax2+bx+c,当x1=1时,y1=-1;当x2=0时,y2=1,当x3=-1时,y3=13. 1)求a、b、c的值; 2)当x=-2时,求y的值.
3.若x1, x2, x3, x4和x5满足方程组 ,试确定3x3+2x4-x5的值.
参考答案: 1. 1) 2) 3) 4) 5) 6)
2.1)a=5,b=-7,c=1,即y=5x2-7x+1; 2)当x=-2时,y=35.
3. 解:(1)+(2)+(3)+(4)+(5),得6(x1+x2+x3+x4+x5)=186, 即x1+x2+x3+x4+x5=31, (6) (3)-(6),得x3=-7 (4)-(6),得x4=17 (5)-(6),得x5=65. ∴ 3x3+2x4-x5=-21+34-65=-52.
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