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The roots of the equation x^2 - 10x + 21 = 0 are: (2020)

Practice Questions

Q1
The roots of the equation x^2 - 10x + 21 = 0 are: (2020)
  1. 3 and 7
  2. 4 and 6
  3. 5 and 5
  4. 2 and 8

Questions & Step-by-Step Solutions

The roots of the equation x^2 - 10x + 21 = 0 are: (2020)
  • Step 1: Start with the equation x^2 - 10x + 21 = 0.
  • Step 2: Look for two numbers that multiply to 21 (the last number) and add up to -10 (the middle number).
  • Step 3: The two numbers that work are -3 and -7 because -3 * -7 = 21 and -3 + -7 = -10.
  • Step 4: Rewrite the equation using these numbers: (x - 3)(x - 7) = 0.
  • Step 5: Set each factor equal to zero: x - 3 = 0 and x - 7 = 0.
  • Step 6: Solve for x in each equation: x = 3 and x = 7.
  • Step 7: The roots of the equation are 3 and 7.
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