Question

Tìm k biết (3k+1)(4k+2)(5k+3)=192

Answer 1

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Answer 2

Ta có:Nếu k<1, ta có:

\(\left(3k+1\right)\left(4k+2\right)\left(5k+3\right)< \left(3.1+1\right)\left(4.1+2\right)\left(5.1+3\right)=192\left(L\right)\)

Nếu k=1,ta có:

\(\left(3k+1\right)\left(4k+2\right)\left(5k+3\right)=\left(3.1+1\right)\left(4.1+2\right)\left(5.1+3\right)=192\)

Nếu k>1,ta có:

\(\left(3k+1\right)\left(4k+2\right)\left(5k+3\right)>\left(3.1+1\right)\left(4.1+2\right)\left(5.1+3\right)=192\left(L\right)\)

                                         Vậy k=1