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:

a27a+d=0a^2 - 7a + d = 0
b24b+(d9)=0b^2 - 4b + (d - 9) = 0

where the roots of the first equation are xx and yy, and the roots of the second equation are xx and yxy - x.

If we multiply the second equation by 3z3z and add $1$ to the smallest root of the newly formed equation, what is the resulting number?

Options

A.

$4$

B.

$3$

C.

$2$

D.

$0$

E.

None of the above

quadratic equationsrootsalgebrasbi po prelims

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