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Find the roots of the equation 3x^2 - 12 = 0.

Practice Questions

Q1
Find the roots of the equation 3x^2 - 12 = 0.
  1. x = 2, -2
  2. x = 4, -4
  3. x = 2, 4
  4. x = -4, 2

Questions & Step-by-Step Solutions

Find the roots of the equation 3x^2 - 12 = 0.
  • Step 1: Start with the equation 3x^2 - 12 = 0.
  • Step 2: Add 12 to both sides of the equation to get 3x^2 = 12.
  • Step 3: Divide both sides by 3 to simplify the equation to x^2 = 4.
  • Step 4: Take the square root of both sides to find x. This gives x = ±2.
  • Quadratic Equations – Understanding how to manipulate and solve quadratic equations using algebraic methods.
  • Roots of Equations – Finding the values of x that satisfy the equation, specifically for quadratic forms.
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