Respuesta :

The given equation is

[tex]\begin{gathered} 2n^2+8n+1=-7 \\ 2n^2+8n+1+7=0 \\ 2n^2+8n+8=0 \end{gathered}[/tex]

Where a = 2, b = 8, and c = 8.

The discriminant formula is

[tex]D=b^2-4ac[/tex]

Let's replace the values

[tex]D=(8)^2-4(2)(8)=64-64=0[/tex]

The equation has one real solution.

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