Question

X elevado a 2- 2x -48 igual 0

Answer 1

Resposta:

${x}^{1} = \frac{2 + 14}{2} = \frac{16}{2} = 8 \\ {x}^{2} = \frac{2 - 14}{2} = - \frac{12}{2} = - 6$

Explicação passo-a-passo:

${x}^{2} - 2x - 48 = 0 \\ \\ a = 1 \\ b = - 2 \\ c = - 48 \\ \\ x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - ( - 2) + - \sqrt{ {( - 2)}^{2} - 4 \times 1 \times ( - 48)} }{2 \times 1} \\ x = \frac{2 + - \sqrt{4 + 192} }{2} \\ x = \frac{2 + - \sqrt{196} }{2} \\ x = \frac{2 + - 14}{2} \\ \\ {x}^{1} = \frac{2 + 14}{2} = \frac{16}{2} = 8 \\ {x}^{2} = \frac{2 - 14}{2} = - \frac{12}{2} = - 6$