Math, asked by manojmuz2017p7tlpz, 1 year ago

k/12=k-3/k , find the value of k​

Answers

Answered by ArpitaAmrita
2

Answer:

K square is equal to -3 ×12=36 so k is equal to 6 hope it helps

Answered by Anonymous
64

\mathfrak{\bf{\underline{\underline{Question\ :}}}}

 \implies \:  \mathsf{ \frac{k}{12} = k -  \frac{3}{k}   \: \: then \:  what \: is \: the \: value \: of \: k \:? }  \\

\mathfrak{\bf{\underline{\underline{Answer\ :}}}}

 \implies \:  \mathsf{ \frac{k}{12} = k -  \frac{3}{k} }  \\

 \implies \:  \mathsf{  \frac{k}{12}  =  \frac{ {k}^{2} - 3 }{k} }  \\

 \implies \:  \mathsf{ {k}^{2}  = 12 {k}^{2}   - 36}

 \implies \mathsf{11 {k}^{2} - 36 = 0 }

  \implies \:  \: \mathsf{11 {k}^{2} = 36 }

 \implies \:  \mathsf{ {k}^{2} =  \frac{36}{11}  } \\

  \implies \:  \mathsf{k =  \sqrt{ \frac{36}{11} } }

 \implies \:    \boxed{\boxed{\mathsf{k =   \frac{6}{ \sqrt{11} }}}  } \\

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