Question

x-4/×+1=4/6 qual o valor do x?????????? please​

Answer 1

Resposta:

Explicação passo-a-passo:

$x - \frac{4}{x} +1 = \frac{4}{6} \\\\\frac{x^{2}-4+x}{x} = \frac{4}{6}\\\\6*(x^{2}-4 + x) = 4x\\6x ^{2} - 24 + 6x = 4x\\6x^{2}+6x -4x -24 = 0\\6x^{2}+2x -24 = 0$

$delta = b ^{2} -4ac\\delta = 2^{2}-4*6*(-24)\\delta = 580$

$x1 = \frac{-b +\sqrt{delta}}{2*a} \\\\x1 = \frac{-2+2\sqrt{145}}{2*6}\\ x1 = \frac{-2+2\sqrt{145}}{12}\\\\ x1 = \frac{\sqrt{145}-1}{6}$

$x2 = \frac{-\sqrt{145}-1}{6}$