Question

Let \( x_1 \) and \( x_2 \) be the roots of the equation \( x^2 + px - 3 = 0 \). If \( x_1^2 + x_2^2 = 10 \), then the value of \( p \) is equal to:

• A. \( -4 \) or \( 4 \)
• B. \( -3 \) or \( 3 \)
• C. \( -2 \) or \( 2 \)
• D. \( -1 \) or \( 1 \)
• E. \( 0 \)

Hint:

Squaring a variable like \( (-p)^2 \) always results in a positive value. When solving \( p^2 = k \), remember to include both the positive and negative square roots.

Answer 1

The Correct Option is C