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Nana76 [90]
3 years ago
7

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

Mathematics
1 answer:
SashulF [63]3 years ago
6 0

Answer:

It has two solutions.

Step-by-step 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

\dfrac{3}{4z}=\dfrac{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.

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