CAT 2024 Slot 1 QA Question 7

Type-in-the-answer (no negative marking) · Algebra · Polynomials · Try it, then check the answer and solution below.

If the equations x2+mx+9=0,x2+nx+17=0,andx^2 + mx + 9 = 0 , x^2 + nx + 17 = 0 , andx^2 + (m + n)x + 35 = 0haveacommonnegativeroot,thenthevalueofhave a common negative root, then the value of2m + 3n$ is
TITA Answer:
Answer and solution

Answer: 38

Given the quadratic equations:
1
x2+mx+9=0x^2 + mx + 9 = 0
2
\(x^

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