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11 grade maths others

How do you solve x³/₂ = 27 ?

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11 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer11 Months ago

To solve the equation x³/₂ = 27, we need to isolate x. Here’s a step-by-step approach:

Step 1: Eliminate the Fraction

First, we can eliminate the fraction by raising both sides of the equation to the power of 2/3. This will help us get rid of the exponent:

(x³/₂)^(2/3) = 27^(2/3)

Step 2: Simplify Both Sides

Now, simplify both sides:

  • The left side becomes x because (3/2) * (2/3) = 1.
  • The right side can be calculated as follows: 27^(2/3) = (27^(1/3))^2 = 3^2 = 9.

Step 3: Write the Final Equation

After simplification, we have:

x = 9

Summary

The solution to the equation x³/₂ = 27 is x = 9.

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