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

Mathematics

2 answers:

makkiz [27]3 years ago

6 0

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.

zheka24 [161]3 years ago

5 0

Answer:

Step-by-step explanation:

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