Question

If the equation x

2

+ px + q = 0 (p, q€R) and x

3

+ 3x

2

+ 5x + 3 = 0 have two common roots, then the

minimum value of p + q is

(A) 10 (B) 1 (C) – 1 (D) 5​

Answer 1

Answer:

option b is correct answer than mark as brainllist thanks

Answer 2

Answer:

D - 5

Step-by-step explanation:

In eqn x³+3x²+5x+3 = 0

one of its roots is -1 (by observation)

so (x+1) (x²+2x+3) = 0    (simplified the cubic eqn)

As x²+2x+3 have no real roots

so x²+px+q = 0 and x²+2x+3 = 0 have common roots

using common root formula

$\frac{1}{1} = \frac{p}{2} = \frac{q}{3}$    ∴ p = 2   q= 3

p + q = 5