Question

So sánh:

A= 17 mũ 18 + 1 trên 17 mũa 19 +1

B= 17 mũ 17 + 1 trên 17 mũ 18 + 1

giúp tớ nha

 

Answer 1

Ta có:

A=1718+11719+1A=1718+11719+1

⇒17A=1719+1+161719+1⇒17A=1719+1+161719+1

⇒17A=1+161719+1⇒17A=1+161719+1

B=1717+11718+1B=1717+11718+1

⇒17B=1718+1+161718+1⇒17B=1718+1+161718+1

⇒17B=1+161718+1⇒17B=1+161718+1

Vì 161719+1<161718+1⇒17A<17B161719+1<161718+1⇒17A<17B

$\Rightarrow A<B$

Vậy $A<$