Question

(x+3) (x+4)= 7 (x+2)

Resolva a equação do 2° Grau​

Answer 1

$\LARGE\tt{}\left(x + 3\right)\left(x + 4\right) = 7\left(x + 2\right) \\ \\ \LARGE\tt{} {x}^{2} + 4x + 3x + 12 = 7x + 14 \\ \LARGE\tt{} {x}^{2} + 7x + 12 = 7x + 14 \\\LARGE\tt{} {x}^{2} + 12 = 14 \\ \LARGE\tt{} {x}^{2} = 14 - 12 \\ \LARGE\tt{} {x}^{2} = 2 \\ \LARGE\tt{}x = \pm \sqrt{2} \\ \\ \LARGE\tt{}x = - \sqrt{2} \\ \\ \LARGE\tt{}x = \sqrt{2} \\ \\ \LARGE\tt{} \begin{cases} x_{1} = - \sqrt{2} \\ x_{2} = \sqrt{2} \end{cases}$

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