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

A:x ≈ −6.02 and x ≈ 5.02
B:x ≈ −3.46 and x ≈ 3.46
C:x ≈ −3.14 and x ≈ 4.14
D:x ≈ −2.61 and x ≈ 4.61

Question

Solve for x in the proportion x over the quantity x plus 12 equals 1 over the quantity x minus 1.
 	
	A:x ≈ −6.02 and x ≈ 5.02
	B:x ≈ −3.46 and x ≈ 3.46
	C:x ≈ −3.14 and x ≈ 4.14
	D:x ≈ −2.61 and x ≈ 4.61

campbell_st · Answer

$$\frac{x}{x + 12} = \frac{1}{x - 1}$$

cross multiply to remove the denominators. 

$$x( x-1) = 1(x + 12)$$

expand and simplify

$$x^2 - x=x + 12$$

rewrite the equation will all terms on the left

$$x^2 - 2x - 12 = 0$$

you will need to solve this using the general quadratic formula

$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

you need to substitute a = 1, b = -2 and c = -12   and solve to get you answers

anonymous · Answer

Ok,Thankss(: