Question

(x-7)^x+1 - (x-7)^x+11 = 0

Answer 1

\(\left(x-7\right)^{x+1}-\left(x-7\right)^{x+11}=0\)

\(\Leftrightarrow x+1=x+11\) (vô lý)

TH1: \(x-7=1\Rightarrow x=8\) 

TH2: \(x-7=-1\Rightarrow x=6\) 

TH3:  \(x-7=0\Rightarrow x=7\)

Vậy:....

Answer 2

(x-7)^x+1( 1 - (x-7)¹⁰) = 0

(x-7)^x+1 = 0

x = 7

1- (x-7)¹⁰ = 0

(x - 7)¹⁰ = 1 

x =8