Question

X + 1 by X is equals to 10 by 3 then the value of x​

Answer 1

Answer:

$\frac{x + 1}{x} = \frac{10}{3} \\ \\ 3x + 3 = 10x \\ 3 = 10 x - 3x \\ 3 = 6x \\ \frac{3}{6} = x$

$\huge{\mathcal{\boxed{\purple{x=1/2}}}}$

Answer 2

Answer:

$x + \frac{1}{x} = \frac{10}{3} \\ {x}^{2} + 1 = \frac{10x}{3} \\ \\ 3 {x}^{2} + 3 = 10x \\ \\ 3 {x}^{2} + 3 - 10x = 0 \\ \\ 3 {x}^{2} - 10x + 3 = 0 \\ \\ 3 {x}^{2} - 9x - x + 3 = 0 \\ \\ 3x(x - 3) - 1(x - 3) = 0\\ \\( 3x - 1)(x - 3) = 0\\ \\ take \: 3x - 1 = 0 \: \: \: and \: \: \: x - 3 = 0 \\ \\ x = \frac{1}{3} \: \: and \: \: x = 3 \\ \\ hence \: the \: value \: of \: x = \frac{1}{3} \: and \: 3$