Question

If (x+1) : (x+4) = (x-1) : (x+1), then what is the value of x?​

Answer 1

Answer:

x=5.

Step-by-step explanation:

(x+1) : (x+4) = (x-1) : (x+1)

x+1/x+4=x-1/x+1

x+1*[x+1]=x+4*[x-1]

[x+1] ^2=x^2-x+4x-4

x^2+2x+1=x^2+3x-4

2x+1=3x-4                   [x^2 x^2 got cut]

1+4=3x-2x

5=x