Question

2)Qual é o valor da menor raíz da
equação 2x² + 2x-24=0​

Answer 1

$\large\sf{} {2x}^{2} + 2x - 24 = 0 \\ \large\sf{} {x}^{2} + x - 12 = 0 \\ \large\sf{} {x}^{2} + 4x - 3x - 12 = 0 \\ \large\sf{}x \times \left(x + 4\right) - 3\left(x + 4\right) = 0 \\ \large\sf{}\left(x + 4\right) \times \left(x - 3\right) = 0 \\ \large\sf{}x + 4 = 0 \\ \large\sf{}x - 3 = 0 \\ \\\large\sf{}x = - 4 \\ \large\sf{}x = 3 \\ \\ \bm{\large\boxed{\boxed{  { \large \sf x_{1} = - 4}}}}\bm{\large\boxed{\boxed{  { \large \sf x_{2} = 3 }}}}$

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