Question

(x+1) /(x+2) =x+2/x+4

plz answer​

Answer 1

Answer:

$\frac{x + 1}{x + 2} = \frac{x + 2}{x + 4}$

$(x + 1)(x + 4) = ( {x + 2})^{2}$

${x}^{2} + 5x + 4 = {x}^{2} + 4x + 4$

$x = 0$

thanks

Answer 2

Question

$→ \sf \cfrac{x + 1}{x + 2} = \cfrac{x + 2}{x + 4}$

Answer (x)=0

Step by step explanation :

$\\{→ \sf (x + 1)(x + 4) = (x + 2)(x + 2)}$

${→ \sf {x}^{2} + (1 + 4)x + 1 \times 4 = {x}^{2} + {2}^{2} + 2 \times x \times 2}$

$~~~~{→ \sf {x}^{2} + 5x \: + 4 = {x}^{2} + 4 + 4x}$

$~~~~~~{→ \sf \xcancel{ \: \: {x}^{2}} + 5x \: \xcancel{+ 4 } = \xcancel{ \: \: {x}^{2}} \: \: \xcancel{+ 4 } + 4x}$

$~~~~~~~{ \sf → 5x - 4x = 0 }$

$\begin{gathered}~~~~~~~\overbrace{\overline{\overbrace↑^{\underbrace{\underline{\boxed{\underline{\bf → \orange{{x}=0}}}}}}}}\\\\ \end{gathered}$