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

2 answers:

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.

Elden [556K]3 years ago

6 0

Answer:

36.

Step-by-step explanation:

We have been given an equation $x^2+12x=11$ and we are asked to find the number that should be added to both sides of the equation to complete the square.

To complete the square we divide the constant with x term by two and add the square of that number to both sides of equation to complete the square.

$(\frac{b}{2})^2$

We can see that constant of x term is 12, so let us divide 12 by 2.

$\frac{12^2}{2^2}$

$\frac{144}{4}$

$36$

Therefore, we should add 36 to both sides of our equation to complete the square.

After adding 36 to both sides of our equation we will get,

$x^2+12x+36=11+36$

$x^2+12x+6^2=47$

$(x+6)^2=47$

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Step-by-step explanation:

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N is M reflected across the y-axis; only the signs of the x-coordinates of M and N are different.

<u>Step-by-step explanation:</u>

In question no statements are available , below statements are the required one:

N is M reflected across the x-axis; only the signs of the x-coordinates of M and N are different: N is reflected over y-axis not x-axis so, this option itself is wrong!
N is M reflected across the x-axis; only the signs of the y-coordinates of M and N are different: N-M is reflected over y-axis not x-axis , so this option is also wrong.
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