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

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Question: What is the product of the roots of the quadratic equation x^2 - 7x + 10 = 0? (2023)

Options:

Correct Answer: 10

Exam Year: 2023

Solution:

Using Vieta\'s formulas, the product of the roots is c/a = 10/1 = 10.

What is the product of the roots of the quadratic equation x^2 - 7x + 10 = 0? (2023)

What is the product of the roots of the quadratic equation x^2 - 7x + 10 = 0? (2023)

Step 1: Identify the quadratic equation. The given equation is x^2 - 7x + 10 = 0.
Step 2: Recognize the standard form of a quadratic equation, which is ax^2 + bx + c = 0.
Step 3: Identify the coefficients a, b, and c from the equation. Here, a = 1, b = -7, and c = 10.
Step 4: Use Vieta's formulas to find the product of the roots. According to Vieta's, the product of the roots is given by c/a.
Step 5: Substitute the values of c and a into the formula. This gives us 10/1.
Step 6: Calculate the result. 10/1 equals 10.
Step 7: Conclude that the product of the roots of the quadratic equation is 10.

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