1：2^2a+1=64,解关于a/3+3=52：2^2n+1+4^n=48,求n的值公式逆用：(a-b)^3(b-a)^4(a-b)^2(y-x)^2(x-y)^n+(x-y)^n+1(y-x)(x+z-y)^3m(y-x-z)^4m(z-y+x)^5m

Question

1：2^2a+1=64,解关于a/3+3=5
2：2^2n+1+4^n=48,求n的值
公式逆用：(a-b)^3(b-a)^4(a-b)^2
(y-x)^2(x-y)^n+(x-y)^n+1(y-x)
(x+z-y)^3m(y-x-z)^4m(z-y+x)^5m

Answer 1

1：2^2a+1=64,解关于a/3+3=5
2^2a+1=2^6
2a+1=6
a=2.5
a/3+3=5
a/3=2
a=6
题目是什么意思?
2：2^2n+1+4^n=48,求n的值
2^(2n+1)+2^2n=48
2^2n(2+1)=48
2^2n=16
2^2n=2^4
2n=4
n=2
公式逆用：(a-b)^3(b-a)^4(a-b)^2
=(a-b)^3(a-b)^4(a-b)^2
=(a-b)^9
(y-x)^2(x-y)^n+(x-y)^n+1(y-x)
=(x-y)^2(x-y)^n-(x-y)^(n+1)(x-y)
=(x-y)^(2+n)-(x-y)^(n+2)
=0
(x+z-y)^3m(y-x-z)^4m(z-y+x)^5m
=(x+z-y)^3m(x+z-y)^4m(x+z-y)^5m
=(x+z-y)^(3m+4m+5m)
=(x+z-y)^12m