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Fill in the gaps in the equation below by
completing the square.
x² - 6x-1=(x −
|) ² − |

Fill In The Gaps In The Equation Below By Completing The Square X 6x1x class=

Sagot :

sqdancefan

Answer:

  (x -3)² -10

Step-by-step explanation:

You want the vertex form of x² -6x -1, found by completing the square.

Completing the square

The square of a binomial is ...

  (x -a)² = x² -2ax +a²

The constant in this perfect square trinomial is the square of half the coefficient of the linear term: a² = (-2a/2)²

Application

To complete the square for the given quadratic, the perfect square trinomial must have a constant of (-6/2)² = 9. We can add and subtract 9 to rearrange the quadratic to the desired form.

  x² -6x -1

  = (x² -6x +9) -1 -9 . . . . . . . +9 -9 was added

  = (x -3)² -10

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