Question

if x2+2x+1=0 x2 +3x+p=0 have a common root then p=​

Answer 1

Answer:

x

2

−6x+5=0

⟹x

2

−5x−x+5=0

⟹x(x−5)−(x−5)=0

⟹(x−1)(x−5)=0

⟹x=1,5

If x=1 be the common root then (1)

2

−12(1)+p=0⟹p=11

If x=5 be the common root then (5)

2

−12(5)+p=0⟹p=35

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