Question

Usando a fórmula de Bháskara para resolver as equações em R :
a) 3 x² + x - 2 = 0

Answer 1

Resposta:

3 x² + x - 2 = 0

coeficientes

a = 3

b = 1

c = -2

Δ=b² -4ac

Δ = 1² -4(3)(-2)

Δ = 1 + 24

Δ = 25

$x=\dfrac{-b\pm\sqrt{\Delta}}{2a} =\dfrac{-1\pm\sqrt{25} }{2.(3)}=\dfrac{-1\pm5}{6}\\ \\\\ x'=\dfrac{-1-5}{6}=-\dfrac{6}{6}=-1\\ \\ \\ x"=\dfrac{-1+5}{6}=\dfrac{4}{6}=\dfrac{2}{3}\\ \\ \\ \boxed{S=\{-1,\dfrac{2}{3}\}}$