Question

What is the value of z for the equation fraction 1 over 2z = −fraction 3 over 4 + fraction 1 over 4z?

Answer 1

Z= -3
Turn 1/2 z into 2/4 z and then subtract 1/4 z from both sides

Answer 2

The value of z=-0.33 if z is in the denominator(below the line)

The value of z=-3 if z is in the numerator(above the line)

Explanation:

The equation is as follows from the information given if z is the in denominator:

`1/(2*z)=-3/4+1/(4*z)`

`0.5/z=-0.75+0.25/z`

We can multiply the whole equation with z:

`0.5=-0. 75*z+0.25`

Add up all the terms with z and simplify:

`z=-0.25/0.75=-0.33`

The value of z is -0.33

The equation is as follows from the information given if z is the in numerator:

`0.5*z=-0.75+0.25*z`

Add up all the terms with z and simplify:

`z=-0.75/0.25=-3.3`