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

2 Answers

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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
User Leyvi
by
7.5k points
7 votes

Answer:

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.

User Njsf
by
7.7k points