Question

Resolva a equação: x² + 3x/6 =  2/3​

Answer 1

Resposta:

$x=\boxed{\dfrac{-3 + \sqrt{105}}{2\cdot 6}}\\x=\dfrac{-3\pm \sqrt{105}}{12}\\x=\boxed{\dfrac{-3 - \sqrt{105}}{12}}$

Explicação passo-a-passo:

$x^2+\dfrac{3x}{6}=\dfrac{2}{3}\\\dfrac{6x^2}{6}+\dfrac{3x}{6}=\dfrac{4}{6}\\6x^2+3x-4=0$

Agora é só responder:

$a=6;\;b=3;\;c=-4\\\Delta = b^2-4\cdot a\cdot c\\\Delta = 3^2-4\cdot 6\cdot (-4)\\\Delta = 9+96\\\Delta = 105\\\Bascara\\x=\boxed{\dfrac{-3 + \sqrt{105}}{2\cdot 6}}\\x=\dfrac{-3\pm \sqrt{105}}{12}\\x=\boxed{\dfrac{-3 - \sqrt{105}}{12}}$