Solve x2 9x 20 = 0. x = 2, x = 10 x = −2, x = −10 x = −5, x = −4 x = 5, x = 4
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.