What number should be added to both sides of the equation to complete the square?

x2 + 12x = 11

Question

Mathematics

Jayvion Yates

1 March, 11:31

What number should be added to both sides of the equation to complete the square?

x2 + 12x = 11

+1

Answers (1)

Know the Answer?

Galvan · Answer 1

given:

x² + 12x = 11

perfect square:

a² + 2ab + b²

a² = x² ⇒ x * x

2ab = 12x ⇒ 2 (6) x

b² = 6² ⇒ 36

x² + 12x + 36 = 11 + 36

(x+6) (x+6) = 47

Both sides must be added with 36.

What number should be added to both sides of the equation to complete the square?x2 + 12x = 11

What number should be added to both sides of the equation to complete the square?

x2 + 12x = 11