Given the two quadratic equations: a 2 − 7 a + d = 0 a^2 - 7a + d = 0 a 2 − 7 a + d = 0 b 2 − 4 b + ( d − 9 ) = 0 b^2 - 4b + (d - 9) = 0 b 2 − 4 b + (...
Question
Given the two quadratic equations:
where the roots of the first equation are and , and the roots of the second equation are and .
If we multiply the second equation by and add $1$ to the smallest root of the newly formed equation, what is the resulting number?