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The roots of the equation 4x^2 - 12x + 9 = 0 are: (2019)

Practice Questions

Q1
The roots of the equation 4x^2 - 12x + 9 = 0 are: (2019)
  1. 1 and 2
  2. 3 and 3
  3. 0 and 3
  4. 2 and 1

Questions & Step-by-Step Solutions

The roots of the equation 4x^2 - 12x + 9 = 0 are: (2019)
  • Step 1: Start with the equation 4x^2 - 12x + 9 = 0.
  • Step 2: Look for a way to factor the equation. Notice that 4x^2 can be written as (2x)^2.
  • Step 3: Rewrite the equation as (2x)^2 - 12x + 9 = 0.
  • Step 4: Identify the middle term -12x. We can express it as -3(2x) - 3(2x).
  • Step 5: Rewrite the equation as (2x - 3)(2x - 3) = 0.
  • Step 6: Set each factor equal to zero: 2x - 3 = 0.
  • Step 7: Solve for x by adding 3 to both sides: 2x = 3.
  • Step 8: Divide both sides by 2: x = 3/2.
  • Step 9: Since both factors are the same, the root is repeated: x = 3/2.
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