26.5k views
4 votes
Fill in the gap by completing the square x^2 -6x -8x = (x - (blank)^2 - (blank)

User Azmath
by
8.7k points

1 Answer

2 votes

The completed square form is x^2 −6x−8x=(x−7)^2−49

To complete the square for the quadratic expression x^2 −6x−8x, follow these steps:

Factor out the coefficient of x^2 , which is 1:

x^2 −6x−8x=x^2 −14x

Take half of the coefficient of x (in this case, −14/2=−7) and square it (−7)^2 =49).

Add and subtract the result from step 2 inside the parentheses:

x^2 −14x+49−49

Now, you can express the quadratic expression as a perfect square trinomial and a constant term:

x^2 −14x+49−49=(x−7)^2 −49

So, the completed square form is x^2 −6x−8x=(x−7)^2−49

User Hamstergene
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories