If the equations x 2 + m x + 9 = 0 x^2 + mx + 9 = 0 x 2 + m x + 9 = 0 , x 2 + n x + 17 = 0 x^2 + nx + 17 = 0 x 2 + n x + 17 = 0 , and x 2 + ( m + n ) ...

CAT Medium Quadratic Equations Integer

Question

If the equations

x^2 + mx + 9 = 0

x^2 + nx + 17 = 0

, and

x^2 + (m+n)x + 35 = 0

have a common negative root, then the value of

(2m + 3n)

is:

Enter your answer as an integer value

cat 2024common roots

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