实数a,b,x,满足ax+by=3,ax^2+by^2=7,ax^3+by^3=16,ax^4+by^4=42,ax^5+by^5=?
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/27 20:25:54
实数a,b,x,满足ax+by=3,ax^2+by^2=7,ax^3+by^3=16,ax^4+by^4=42,ax^5+by^5=?
实数a,b,x,满足ax+by=3,ax^2+by^2=7,ax^3+by^3=16,ax^4+by^4=42,ax^5+by^5=?
实数a,b,x,满足ax+by=3,ax^2+by^2=7,ax^3+by^3=16,ax^4+by^4=42,ax^5+by^5=?
因为ax2+by2=7
则ax2=7-by2,by2=7-ax2
ax3=7x-bxy2,by3=7y-ax2y
ax3+by3=7(x+y)-xy(by+ax)=16
即7(x+y)-3xy=16
又因为ax3+by3=16
则ax3=16-by3,by3=16-ax3
ax4=16x-bxy3,by4=16y-ax3y
ax4+by4=16(x+y)-xy(by2+ax2)=42
即16(x+y)-7xy=42
由两式组成方程组:7(x+y)-3xy=16
16(x+y)-7xy=42
解得x+y=-14,xy=-38
又因为 ax4+by4=42
ax4=42-by4,by4=42-ax4
ax5=42x-bxy4,by5=42y-ax4y
ax5+by5=42(x+y)-xy(by3+ax3)
=42*(-14)-16*(-38)
=-588+608
=20
实数a,b,x,满足ax+by=3,ax^2+by^2=7,ax^3+by^3=16,ax^4+by^4=42,ax^5+by^5=?
已知实数abxy满足ax+by=3,ay-bx=5已知实数a,b,x,y满足ax+by=3,ay-bx=5,则(a^2+b^2)(x^2+y^2)的值是多少
已知实数a,b,x,y满足a+b=x+y=2,ax+by=5,则
若a,b,x,y满足ax+by=3,ax^2+by^2=7,ax^3+by^3=16,ax^4+by^4=42,求ax^5+by^5的值
若a,b,x,y满足ax+by=3,ax^2+by^2=7,ax^3+by^3=16,ax^4+by^4=42,求ax^5+by^5的值
若a,b,x,y满足ax+by=3,ax+by=7,ax+by=16,ax的四次方+by的四次方=42,求ax的五次方+by的五次方的值
实数a,b,x,y满足ax+by=3,ax的平方+by的平方=7,ax的3次方+by的3次方=16,ax的4次方+by的4次方=42,那ax的5次方+by的5次方=?是
若实数a.b.x.y满足ax+by=3和ay-bx=5,求(a^2+b^2)(x^2+b^2)的值
已知实数a,b,x,y,满足a^2+b^2=1,x^2+y^2=3,求ax+by的最大值为?
已知实数x,y,a,b,满足x^2+y^2=1,a^2+b^2=3,则ax+by的最大值是
设实数a.b.x.y满足a^2+ b^2=1,x^2 +y^2=3,则ax +by的最大值是多小
设实数a,b,x,y满足a²+b²=1,x²+y²=3,则ax+by的最大值为
设实数a、b、x、y满足A方+B方=1,x方+y方=3,则ax+by的最大值
若实数a,b,x,y满足ax+by=3和ay+bx=5,求(a²+b²)(x²+y²)
2(ax+by-ax)-(ax+by)^2-(by-ax)^2 其中a=-3 b=0.52(ax+by)(by-ax)-(ax+by)^2-(by-ax)^2
若实数a.b.x.y满足ax+by=3和ay-bx=5,求(a^2+b2)(x^2+y^2)
设实数a,b,c ,d 满足a^2+b^2=1,x^2+y^2=3,则ax+by的取值范围
以知a b 都是正数 ,x,y属于实数,且a+b=1求证 ax*x+by*y》(ax+by)*(ax+by)