若实数a不等于b,且a,b满足a2-8a+5=0,b2-8b+5=0,则代数式（b-1)/(a-1)+(a-1)/(b-1)

来源：学生作业帮助网 编辑：作业帮 时间：2024/11/15 11:53:48

若实数a不等于b,且a,b满足a2-8a+5=0,b2-8b+5=0,则代数式（b-1)/(a-1)+(a-1)/(b-1)
若实数a不等于b,且a,b满足a2-8a+5=0,b2-8b+5=0,则代数式（b-1)/(a-1)+(a-1)/(b-1)

若实数a不等于b,且a,b满足a2-8a+5=0,b2-8b+5=0,则代数式（b-1)/(a-1)+(a-1)/(b-1)
若实数a不等于b,且a,b满足a2-8a+5=0,b2-8b+5=0 则a+b=8,ab=5
（b-1)/(a-1)+(a-1)/(b-1)=(b-1)2+(a-1)2/(a-1)(b-1)=b2-2b+1+a2-2a+1/ab-a-b+1
=（a+b)2-2ab-2(a+b)+2/ab-(a+b)+1
代入a+b=8,ab=5
则得答案 -20

实数a不等于b,且a,b满足a2-8a+5=0,b2-8b+5=0,
则a,b分别是方程x²-8x+5=0的两个实数根
a+b=8
ab=5
（b-1)/(a-1)+(a-1)/(b-1)
=[(b-1)²+(a-1)²]/(a-1)(b-1)
=[a²+b²-2(a+b)+2]/[ab-(a+b)...

全部展开

实数a不等于b,且a,b满足a2-8a+5=0,b2-8b+5=0,
则a,b分别是方程x²-8x+5=0的两个实数根
a+b=8
ab=5
（b-1)/(a-1)+(a-1)/(b-1)
=[(b-1)²+(a-1)²]/(a-1)(b-1)
=[a²+b²-2(a+b)+2]/[ab-(a+b)+1]
=[(a+b)²-2ab-2(a+b)+2]/[ab-(a+b)+1]
=(8²-2*8-2*5+2)/(5-8+1)
=-20

收起

若实数a不等于b,且a,b满足a2-8a+5=0,b2-8b+5=0,则代数式（b-1)/(a-1)+(a-1)/(b-1) 若实数a.b.c.d都不等于0,且满足（a2+b2)d2-2b(a+c)d+b2+c2=0 求证b2=ac “实数a,b满足a2+b2 已知实数ab满足a2=2-2a,b2=2-2b,且a不等于b,求（1）a/b+b/a的值；（2）a2+2b2+2b的值 若a,b都为实数,且a不等于b,满足a平方+a-1=0,b平方+b-1=0,那a+b=? 已知实数a,b分别满足a2-6a+4=0,b2-6b+4=0且a不等于b,则b/a+a/b的值是多 少?谢谢. 已知实数a,b分别满足a2-6a+4=0,b2-6b+4=0且a不等于b,则b/a+a/b的值是多少? 若实数a,b满足a2＋b2＝1,且c 设a,b为实数,且ab不等于0,且满足(a/1+a)+(b/1+b)=(a+b)/(1+a+b),求a+b的值 若实数a不等于b且a、b满足a的平方-8a+5=0,b的平方-8a+5=0,则b-1除以a-1加上a-1除以b-1? 若实数a不等于b,且a,b满足a^2-8a+5=0,b^2-8b+5=0,则代数式b-1/a-1+a-1/b-1的值为 若实数a不等于b,且a b满足a-8a+5=0,b-8b+5=0,则代数式（b-1）/（a-1）+（a-1）/（b-1）的值为? 已知实数a,b满足a^2=2-2a,b^2=2-2b,且a不等于b,求b/a+a/b的值 实数a,b满足ab不等于0,且使得a/(l+a)+b/(l+b)=(a+b)/(1+a+b),求a+b的值 若实数ab满足ab不等于0 且（a^2+b^2）^3=（a^3+b^3）^3+8a^3b^3 求 a/b+b/a 的值 已知实数a、b满足a²+2a=2,b²+2b=2,且a不等于b,求1/a+1/b 已知实数a,b满足5a2+2001a+9=0,9b2+2001b+5=0,且ab不等于1,则a/b的值为 设实数a.b分别满足19a2+99a+1=0;b2+99b+19=0,且ab不等于1,求(ab+4a+1)/b的值.