If the roots of the equation x^2 - 7x + 10 = 0 are a and b, what is the value of
Practice Questions
Q1
If the roots of the equation x^2 - 7x + 10 = 0 are a and b, what is the value of ab? (2021)
10
7
5
3
Questions & Step-by-Step Solutions
If the roots of the equation x^2 - 7x + 10 = 0 are a and b, what is the value of ab? (2021)
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 of ax^2 + bx + c = 0.
Step 3: Identify the coefficients: a = 1, b = -7, and c = 10.
Step 4: Understand Vieta's formulas, which tell us that for a quadratic equation, the product of the roots (ab) is equal to the constant term (c) divided by the coefficient of x^2 (a).
Step 5: Since a = 1 and c = 10, we find that ab = c/a = 10/1.
