Home  / Mathematics  / Algebra  / Quadratic Equations
Basic Operations & Factorization
Linear Equations
Quadratic Equations

If the roots of the quadratic equation x² - 7x + 10 = 0 are a and b, what is the value of a² + b²?

Answer: B. 39
Using the identity a² + b² = (a + b)² - 2ab, we have a + b = 7 and ab = 10. Thus, a² + b² = 7² - 2(10) = 49 - 20 = 29.
Posted in:  Quadratic Equations -  Algebra -  Mathematics