Question

$-15k^2 + 15k = 0$

Me ajudem a resolver esta equação

Answer 1

$-15k^2+15k=0\\\\simplificando~por~(-15)\\\\k^2-k=0\\\\Colocando~o~k~em~evidencia\\\\k.(k-1)=0\\\\Equacao~do~2^ograu~incompleta\\\\\boxed{k'=0}\\\\k-1=0\\\\\boxed{k''=1}$

Resposta: As raizes da equação são k = 0 e k = 1

Answer 2

$\boxed{\boxed{Ola\´ \: \: Rafael} }$

$\mathtt{-15k^2 + 15k = 0} \\ \Rightarrow \mathtt{k^2 - k = 0} \\ \Leftrightarrow \mathtt{k \cdot (k -1) = 0}$
$\Leftrightarrow \\ \begin{cases} \mathtt{k = 0} \\ \mathtt{ k - 1 = 0} \end{cases} \\ \Leftrightarrow \\ \begin{cases} \mathtt{k_1 = 0} \\ \mathtt{k_2 = 1} \end{cases}$

Solução: $\mathtt{k \in \{0; 1\} }$

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