Question

Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work. 1/4 x^3 = - 27/4

Answer 1

1/4x^3 = -27/4

To cancel out the denominator, multiply the entire equation by 4:

4(1/4x^3 = -27/4)
x^3 = -27
x = -3

Answer:
x = -3

Answer 2

The value of x is -3.

Step-by-step explanation:

Consider the provided equation.

`(1)/(4)x^3 = - (27)/(4)`

Multiply both the sides by 4.

`(1)/(4)x^3* 4 = -(27)/(4)* 4`

`x^3 =-27`

`x^3 =-3^3`

Hence the value of x is -3.

Check:

Substitute the value of x in the provided equation.

`(1)/(4)* (-3)^3 = - (27)/(4)`

`(27)/(4)= - (27)/(4)`

Which is true.

Hence solution is verified.