Answer:
F(x) = (x + 3)^2 -87
Step-by-step explanation:
Here, we want to rewrite the function by completing the square.
Firstly, we move the c term(-78) to the right hand side of the equation and that becomes
x^2 + 6x = 78
Then, we can complete the square on the right hand side here, to be
Let’s add 9 to both sides
That would be;
x^2 + 6x + 9 = 78 + 9
x^2 + 6x + 9 = 87
(x+3)^2 = 87
or simply
(x+3)^2 -87 = 0
So our F(x) becomes
F(x) = (x + 3)^2 -87
Answer:
The expression after completing the square is:
[tex]f(x) = (x+3)^{2} -87[/tex]
Step-by-step explanation:
The function is rewritten after making algebraic manipulation:
[tex]f(x) = x^{2} + 6\cdot x +9 - 9 - 78[/tex]
The expression after completing the square is:
[tex]f(x) = (x+3)^{2} -87[/tex]
