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Verified Answer :

x^2 + 9x + 20 = 0
(x + 4)(x + 5) = 0
x + 4 = 0 or x + 5 = 0
x = -4 or x = -5
x = -5, x = -4

Answer:

The correct option is 3.

Step-by-step explanation:

The given equation is

\(x^2+9x+20=0\)

Factorize the given equation.

\(x^2+5x+4x+20=0\)

\(x(x+5)+4(x+5)=0\)

\((x+5)(x+4)=0\)

Equate each factor equal to zero.

\(x+5=0\Rightarrow x=-5\)

\(x+4=0\Rightarrow x=-4\)

The solutions of the given equation are x=-5 and x=-4. Therefore the correct option is 3.