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If 5x^2 - 20 = 0, what is the value of x?

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Question: If 5x^2 - 20 = 0, what is the value of x?

Options:

  1. -2
  2. 2
  3. 4
  4. 0

Correct Answer: 2

Solution:

Add 20 to both sides: 5x^2 = 20. Divide by 5: x^2 = 4. Thus, x = ±2.

If 5x^2 - 20 = 0, what is the value of x?

Practice Questions

Q1
If 5x^2 - 20 = 0, what is the value of x?
  1. -2
  2. 2
  3. 4
  4. 0

Questions & Step-by-Step Solutions

If 5x^2 - 20 = 0, what is the value of x?
Correct Answer: ±2
  • Step 1: Start with the equation 5x^2 - 20 = 0.
  • Step 2: Add 20 to both sides of the equation to get 5x^2 = 20.
  • Step 3: Divide both sides of the equation by 5 to isolate x^2. This gives you x^2 = 4.
  • Step 4: Take the square root of both sides to find x. This means x = ±2.
  • Quadratic Equations – The question tests the ability to solve a basic quadratic equation by isolating the variable.
  • Factoring and Square Roots – The solution involves recognizing that the equation can be simplified to find the square roots.
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