Question

RESOLVAM:
2X^2 +5X = 3

Answer 1

Aplicamos a Fórmula de Bhaskara:

$2 {x}^{2} + 5x = 3 \\ 2 {x}^{2} + 5x - 3 = 0 \\ \\ x = \frac{ - (5) + \sqrt{ {5}^{2} - 4 \times 2 \times ( - 3) } }{2 \times 2} \\ x = \frac{ - 5 + \sqrt{25 + 24} }{4} \\ x = \frac{ - 5 + \sqrt{49} }{4} = \frac{ - 5 + 7}{4} \\ x = \frac{2}{4} \\\boxed{ x = \frac{1}{2}} \\ \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ou \\ \\ \\ x = \frac{ - 5 - 7 }{4} = \frac{ - 12}{4} \\ \boxed{x = - 3}$