Consider the following quadratic equations: Equation 1: a x 2 + b x + c = 0 ax^2 + bx + c = 0 a x 2 + b x + c = 0 Equation 2: d y 2 + e y + c = 0 dy^2...
Question
Consider the following quadratic equations:
Equation 1:
Equation 2:
Given the conditions:
- is a single-digit prime number greater than 2.
- and are two-digit prime numbers less than 20.
- is greater than 11.
- is greater than .
- The smallest roots of both equations are equal.
- Neither equation has irrational roots.
- .
- is greater than .
Find the value of .