Question

Solve for x in the proportion x over the quantity x plus 12 equals 1 over the quantity x minus 1.

x ≈ −6.02 and x ≈ 5.02

x ≈ −3.46 and x ≈ 3.46

x ≈ −3.14 and x ≈ 4.14

x ≈ −2.61 and x ≈ 4.61

Answer 1

x/(x+12)=1/(x-1)

x(x-1)=x+12
x^2-x=x+12
x^2-x-x-12=0
x^2-2x-12=0

Answer 2

x/(x+12)=1/(x-1)

x(x-1)=x+12
x^2-x=x+12
x^2-x-x-12=0
x^2-2x-12=0