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If x^3 - 8 = 0, what is the value of x?

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Question: If x^3 - 8 = 0, what is the value of x?

Options:

  1. 2
  2. 3
  3. 4
  4. 1

Correct Answer: 2

Solution:

x^3 = 8 => x = 2

If x^3 - 8 = 0, what is the value of x?

Practice Questions

Q1
If x^3 - 8 = 0, what is the value of x?
  1. 2
  2. 3
  3. 4
  4. 1

Questions & Step-by-Step Solutions

If x^3 - 8 = 0, what is the value of x?
  • Step 1: Start with the equation x^3 - 8 = 0.
  • Step 2: Add 8 to both sides of the equation to isolate x^3. This gives you x^3 = 8.
  • Step 3: To find the value of x, take the cube root of both sides. This means you need to find a number that, when multiplied by itself three times, equals 8.
  • Step 4: The cube root of 8 is 2, because 2 * 2 * 2 = 8.
  • Step 5: Therefore, the value of x is 2.
  • Cubic Equations – The question tests the ability to solve a cubic equation by isolating the variable.
  • Roots of Numbers – It assesses understanding of finding the cube root of a number.
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