Respuesta :
The answer is (x+2)^2 - 28
Work:
x^2 + 4x - 19 = 5
x^2 + 4x - 24
(x^2 + 4x ) - 24
(x^2 + 4x + 4) -24 - 4
(x^2 + 4x + 4) - 28
(x + 2) -28
Work:
x^2 + 4x - 19 = 5
x^2 + 4x - 24
(x^2 + 4x ) - 24
(x^2 + 4x + 4) -24 - 4
(x^2 + 4x + 4) - 28
(x + 2) -28
Answer:
(x - 2)^2 = 28
Step-by-step explanation:
The given equation is x^2 - 4x - 19 = 5
We have to convert this in (x - p)^2 = q form.
x^2 - 4x - 19 = 5
Here b = 4, find b/2 and make it square.
-4/2 = -2, the square of -2 is 4.
Now add 4 on both sides, we get
(x^2 - 4x + 4 ) -19 = 5 + 4
(x^2 - 4x + 4) -19 = 9
(x^2 - 4x + 4) = 9 +19
(x - 2)^2 = 28
Now we have the equation in the form of (x - p)^2 = q
Hope this will helpful.
Thank you.
