Quadratic Equations
Difference of Roots
JEE Main
Grade 11
Question:
If the roots of $x^2 + px + 8 = 0$ differ by 2, find $p^2$.
Step-by-Step Solution
Key Concept: $(\alpha - \beta)^2 = (\alpha + \beta)^2 - 4\alpha\beta = p^2 - 32$. Set this equal to 4 and solve.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: 36