Q1:
PYP 2025
Algebra > Quadratic Equations
Medium
The roots of the equation $\sqrt{2}x^2 - \frac{3}{\sqrt{2}}x + c = 0$ are $p$ and $2p$. Let $a > 0$, and one root of the equation $a^2x^2 + 12a - 7 = 0$ is $64(p^6 + c^{12})$. What is the value of $a$?
Correct Answer
Option 2
Correct Answer