Question

If \( \alpha \) and \( \beta \) are the roots of \( x^2 - ax + b^2 = 0 \), then \( \alpha^2 + \beta^2 \) is equal to:

• A. \( a^2 + 2b^2 \)
• B. \( a^2 - 2b^2 \)
• C. \( a^2 - 2b \)
• D. \( a^2 + 2b \)
• E. \( a^2 - b^2 \)

Hint:

Always look at the constant term carefully. Here it was $b^2$, not $b$, so the product is $b^2$.

Answer 1

The Correct Option is B