Question

Resolva a Equação do 2° grau aplicando a fórmula de Bhaskara: x² – 3x - 10 = 0 *

Answer 1

Explicação passo-a-passo:

$\mathsf{ {x}^{2} - 3x - 10 = 0} \\ \\ \mathsf{x = \frac{ - ( - 3) \pm \sqrt{ {( - 3)}^{2} - 4 \times 1 \times ( - 10) } }{2 \times 1} } \\ \\ \mathsf{x = \frac{ - ( - 3)\pm \sqrt{ {( - 3)}^{2} - 4 \times ( - 10) } }{2 \times 1} } \\ \\ \mathsf{x = \frac{ - ( - 3)\pm \sqrt{ {( - 3)}^{2} - 4 \times ( - 10) } }{2} } \\ \\ \mathsf{x = \frac{3\pm \sqrt{ {( - 3)}^{2} - 4 \times ( - 10) } }{2} } \\ \\ \mathsf{x = \frac{3\pm \sqrt{9 - 4 \times ( - 10)} }{2} } \\ \\ \mathsf{x = \frac{3\pm \sqrt{9 + 40} }{2} } \\ \\ \mathsf{x = \frac{3\pm \sqrt{49} }{2} } \\ \\ \mathsf{x = \frac{3\pm7}{2} } \\ \\ \begin{cases} {\mathsf{x = \frac{3 + 7}{2} }}\\{\mathsf{x = \frac{3 - 7}{2} }} \end{cases} \\ \\ \begin{cases} {\mathsf{x = 5}}\\{\mathsf{x = - 2}} \end{cases} \\ \\ \boxed{\red{\mathsf{s = (5, - 2)}}}$

$\mathcal{ATT : ARMANDO}$

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