Question

Type the correct answer in each box. Use numerals instead of words.
Consider the quadratic equation x2 + 10x + 27 = 0.

Completing the square leads to the equivalent equation (x +__ )^2 = __

Answer 1

Answer:

  (x +5)^2 = -2

Step-by-step explanation:

We can subtract the constant to get ...

  x^2 +10x = -27

Then add the square of half the x-coefficient:

  x^2 +10x +5^2 = -27 +5^2

  (x +5)^2 = -2 . . . . . . write as a square

Answer 2

Answer:

 (x +5)^2 = -2