Respuesta :

Answer:

[tex]81/4[/tex]

Step-by-step explanation:

From the question we are told that

The equation is given by

[tex]x^2+9x+7=0[/tex]

Generally completing the square method is mathematically solved

[tex]x^2+9x+7=0[/tex]

[tex]x^2+9x=-7[/tex]

[tex]x^2+2(\frac{9}{2})x =-7[/tex]

[tex]x^2+2(\frac{9}{2})x+(\frac{9}{2})^2 =-72+(\frac{9}{2})^2[/tex]

[tex]x^2+2(\frac{9}{2})x+(\frac{81}{4}) =-7+(\frac{81}{4})[/tex]

[tex](x^2+(\frac{9}{2}))^2 =-7+\frac{81}{4}[/tex]

Therefore with the use of completing the square method [tex]81/4[/tex]  should be added to solve the equation