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What is the product of the roots of the equation x^2 - 7x + 10 = 0?

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Question: What is the product of the roots of the equation x^2 - 7x + 10 = 0?

Options:

  1. 10
  2. 7
  3. 5
  4. 3

Correct Answer: 10

Solution: 

The product of the roots is given by c/a = 10/1 = 10.

What is the product of the roots of the equation x^2 - 7x + 10 = 0?

Practice Questions

Q1
What is the product of the roots of the equation x^2 - 7x + 10 = 0?
  1. 10
  2. 7
  3. 5
  4. 3

Questions & Step-by-Step Solutions

What is the product of the roots of the equation x^2 - 7x + 10 = 0?
Correct Answer: 10
  • Step 1: Identify the equation given, which is x^2 - 7x + 10 = 0.
  • Step 2: Recognize that this is a quadratic equation in the form ax^2 + bx + c = 0.
  • Step 3: Identify the values of a, b, and c from the equation: a = 1, b = -7, c = 10.
  • Step 4: Use the formula for the product of the roots of a quadratic equation, which is given by c/a.
  • Step 5: Substitute the values of c and a into the formula: c/a = 10/1.
  • Step 6: Calculate the result: 10/1 = 10.
  • Step 7: Conclude that the product of the roots of the equation is 10.
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