Answer:
[tex] y = x^2+14x +(14/2)^2 +8 - (14/2)^2[/tex]
And solving we got:
[tex] y = x^2 +14x +49 + 8 -49[/tex]
And we can reorder the terms we got:
[tex] y =(x+7)^2 -41[/tex]
And that would be the equivalent expression for the problem
Step-by-step explanation:
For this case we have the following function given:
[tex] y = x^2 +14x +8[/tex]
And we can complete the square adding the middle of 14 squared and subtracted before like this:
[tex] y = x^2+14x +(14/2)^2 +8 - (14/2)^2[/tex]
And solving we got:
[tex] y = x^2 +14x +49 + 8 -49[/tex]
And we can reorder the terms we got:
[tex] y =(x+7)^2 -41[/tex]
And that would be the equivalent expression for the problem
