Question

Fatore a equação x^2+3x-18=0

Answer 1

Resposta:

(x - 3) (x +6)

Explicação passo-a-passo:

x^2 + 3x - 18

(x - 3) ( x + 6) = x^2 + 6x -3x - 18 = x^2 +3x - 18

peguei 2 números q o 3 e o 18 têm em comum pra conseguir fazer;

Answer 2

$\Large\mathsf\displaystyle{} {x}^{2} + 3x - 18 = 0 \\\\\Large\mathsf\displaystyle{} \begin{cases}a = 1 \\ b = 3 \\ c = - 18\end{cases} \\\\\\\Large\mathsf\displaystyle{}x = \dfrac{ - 3 \pm \sqrt{ {3}^{2} - 4 \cdot1\cdot\left( - 18\right)} }{2\cdot1} \\\\\\ \Large\mathsf\displaystyle{}x = \dfrac{ - 3 \pm \sqrt{9 + 72} }{2} \\\\\\\Large\mathsf\displaystyle{}x = \dfrac{ - 3 \pm \sqrt{81} }{2} \\\\ \\ \\ \Large\mathsf\displaystyle{}x = \dfrac{ - 3 \pm9}{2} \\ \\ \Large\mathsf\displaystyle{}x = \dfrac{ - 3 + 9}{2} \\ \\ \\\Large\mathsf\displaystyle{}x = \dfrac{3 - 9}{2} \\\\\\ \Large\mathsf\displaystyle{}x = 3 \\\Large\mathsf\displaystyle{}x = - 6$

Solução:

$\bm\Large\begin{gathered} \begin{gathered}\large \overline{ \boxed{\boxed{ \begin{array}{r}\mathsf{ x_{1} = - 6 }\end{array}}}} \end{gathered}  \end{gathered}$

$\bm\Large\begin{gathered} \begin{gathered}\large \overline{ \boxed{\boxed{ \begin{array}{r}\mathsf{ x_{2} = 3 }\end{array}}}} \end{gathered}  \end{gathered}$

$\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{{ \red{Bons}} \blue{\:Estudos}}}}\end{gathered} }$