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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

Respuesta :

chrysanthemum
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:

The value of x is -3.

Step-by-step explanation:

Consider the provided equation.

[tex]\frac{1}{4}x^3 = - \frac{27}{4}[/tex]

Multiply both the sides by 4.

[tex]\frac{1}{4}x^3\times 4 = -\frac{27}{4}\times 4[/tex]

[tex]x^3 =-27[/tex]

[tex]x^3 =-3^3[/tex]

Hence the value of x is -3.

Check:

Substitute the value of x in the provided equation.

[tex]\frac{1}{4}\times (-3)^3 = - \frac{27}{4}[/tex]

[tex]\frac{27}{4}= - \frac{27}{4}[/tex]

Which is true.

Hence solution is verified.

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