Question

3x² – 2x – 1 = 0 DESENVOLVIMETO

Answer 1

Explicação passo-a-passo:

${3x}^{2} - 2x - 1 = 0 \\ \\ a = 3 \\ b = - 2 \\ c = - 1 \\ \\ ∆ = {( - 2)}^{2} - 4.3.( - 1) \\ ∆ = 4 - 4.3.( - 1) \\ ∆ = 4 - 12.( - 1) \\ ∆ = 4 + 12 \\ ∆ = 16 \\ \\ x = \frac{ - ( - 2) ± \sqrt{16} }{2.3} \\ x = \frac{2 \: ± \sqrt{16} }{2.3} \\ x = \frac{2±4}{2.3} \\ x = \frac{2±4}{6} \\ \\ x1 = \frac{2 + 4}{6} \\ x1 = \frac{6}{6} \\ x1 = 1 \\ \\ x2 = \frac{2 - 4}{6} \\ x2 = \frac{ - 2}{6} \\ x2 = \frac{ - 1}{3} \\ \\ s = (1. \frac{-1}{3} )$