makennahaleman makennahaleman

19-08-2020
Mathematics

contestada

Solve x ^2 + 9x + 8 = 0 by completing the square. What are the solutions?

Respuesta :

dannielle dannielle

19-08-2020

Answer:

-1 and -8

Step-by-step explanation:

x^2+2*9/2*x+(9/2)^2-(9/2)^2+8=0

(x+9/2)^2+32/4-81/4=0

(x+9/2)^2-49/4=0

(x+9/2)^2=(7/2)^2

so

x+9/2=7/2

x=7/2-9/2

x=-2/2

x=-1

or

x+9/2=-7/2

x=-7/2-9/2=-16/2

x=-8

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