Respuesta :

[tex]x^2 + 8x - 3 = 0 \\ x^2+8x+16-19=0\\ (x+4)^2=19[/tex]

Answer:

[tex](x+4)^{2}=19[/tex]

Step-by-step explanation:

we have

[tex]x^{2} +8x-3=0[/tex]

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]x^{2} +8x=3[/tex]

Complete the square. Remember to balance the equation by adding the same constants to each side

[tex](x^{2} +8x+16)=3+16[/tex]

[tex](x^{2} +8x+16)=19[/tex]

Rewrite as perfect squares

[tex](x+4)^{2}=19[/tex]