Question

anthony is solving the equation x^2-12x=16 by completing the square. what number should be added to both sides of the equation to complete the square?

Answer 1

Answer:

add (12/2)^2 to both sides

Step-by-step explanation:

x^2-12x=16

x^2 -12x + (12/2)^2 = 16 + (12/2)^

x- (12/2)^2=52

(x-6)^2=52

Answers:

x= -2 root 3 +6

x= 2 root 3 +6

Answer 2

The number he should add on both sides of the equation to complete the square is 36.

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

The given equation is $x^{2} - 12x = 16$

Thus, to make it a complete square, both sides of the equation must be a perfect square.

If we add number 36 on both sides of the equation, then the resulting equation is a perfect square.

⇒ $x^{2} - 12x + 36= 16 + 36$

⇒ $(x-6)^{2} = 52$

∴  $(x-6)^{2} = (2\sqrt{13} )^{2}$

Thus, the given equation is a complete square from both sides.

Therefore, the number he should add on both sides of the equation to complete the square is 36.

To learn more about complete square, refer -

https://brainly.com/question/13981588

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