Question

Find the roots of 1/3x + 4x/6=1

Answer 1

Step-by-step explanation:

$\frac{1}{3x} + \frac{4x}{6} = 1 \\ \\ \frac{1}{3x} = 1 - \frac{4x}{6} \\ \\ \frac{1}{3x} = \frac{6 - 4x}{6} \\\\ 3x(6 - 4x) = 6 \\\\ x(6 - 4x) = 2 \\\\ 6x - 4 {x}^{2} = 2 \\ \\4 {x}^{2} - 6x + 2 = 0 \\ \\2 {x}^{2} - 3x + 1 = 0\\ \\ 2 {x}^{2} - 2x - x + 1 = 0 \\\\ 2x(x - 1) - 1(x - 1) = 0\\ \\ (2x - 1)(x - 1) = 0 \\ \\ hence \: \: roots \: \: are \\ \\ x = \frac{1}{2} \: \: \: and \: \: \: \: \: x = 1 =$