Question

Which statement is true about the equation fraction 3 over 4z = fraction 1 over 4z − 3 + 5?

Answer 1

It has 1 solution

Explanation:

I did the test I put the guys above me in and got it wrong

Answer 2

It has two solutions.

Explanation:

Let as consider the given options are

It has no solution.

It has one solution.

It has two solutions.

It has infinitely many solutions.

The given equation is

`(3)/(4z)=(1)/(4z-3)+5`

Multiply both sides by 4z(4z-3).

`3(4z-3)=4z+5(4z(4z-3))`

`12x-9=4z+80z^2-60z`

`0=-12x+9+80z^2-56z`

`0=80z^2-68z+9`

It is a quadratic equation.

Therefore, it has two solutions.