a) Write the value of the variable that make the denominator zero
b) Keeping the restrictions in mind, solve the equation

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

Question

a) Write the value of the variable that make the denominator zero 
b) Keeping the restrictions in mind, solve the equation

(x-2/2x)+1 = x+1/x

anonymous · Answer

a) x = 0
b) x= 2

anonymous · Answer

the answer in the book is x=0 x=4

anonymous · Answer

a) is obvious but im having trouble finding b because my answer was zero for b

lgbasallote · Answer

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

anonymous · Answer

then you didnt respected the math rules when you copied the equation.

is it -2/(2x) or (-2/2)*x

anonymous · Answer

exactly how igb put it

anonymous · Answer

@lgbasallote , ahh... Now we're getting somewhere

anonymous · Answer

x= 4 indeed

anonymous · Answer

idk how you could have taken it any other way...

lgbasallote · Answer

you just multiply everything by 2x
$$x - 2 + 2x = 2(x+1)$$
$$3x - 2 = 2x + 2$$
$$3x - 2x = 2+2$$
$$x = 4$$

lgbasallote · Answer

do you get that?

lgbasallote · Answer

tell me if a step is unclear @dylanlamoreaux :)

anonymous · Answer

if you multiply everything by 2x arent you going to get 2x^2 for the right side?

lgbasallote · Answer

nope $$\frac{x+1}{\cancel x} \times 2\cancel x$$

lgbasallote · Answer

x just cancels out

lgbasallote · Answer

$$\frac{x+1}{x} \times 2x = 2(x+1)$$

anonymous · Answer

oh got it

lgbasallote · Answer

nice!!

anonymous · Answer

cool thanks!

lgbasallote · Answer