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Alik [6]
3 years ago
11

In the equation left parenthesis x squared plus 14 x right parenthesis plus left parenthesis y squared minus 18 y right parenthe

sisequals​5, complete the square on x by adding​ _______ to both sides. Complete the square on y by adding​ _______ to both sides.
Mathematics
1 answer:
Phoenix [80]3 years ago
7 0

Answer:

Complete the square on x by adding​ <u>49</u> to both sides.

Complete the square on y by adding​ <u>81</u> to both sides.

Step-by-step explanation:

We have been given an equation (x^2+14x)+(y^2+18y)=5. We are asked to complete the squares for both x and y.

We know to complete a square, we add the half the square of coefficient of x or y term.

Upon looking at our given equation, we can see that coefficient of x is 14 and coefficient of y is 18.

(\frac{14}{2})^2=7^2=49

(\frac{18}{2})^2=9^2=81

Now, we will add 49 to complete the x term square and 81 to complete y term square on both sides of our given equation as:

(x^2+14x+49)+(y^2+18y+81)=5+49+81

Applying the perfect square formula a^2+2ab+b^2=(a+b)^2, we will get:

(x+7)^2+(y+9)^2=135

Therefore, We can complete the square on x by adding​ <u>49</u> to both sides and the square on y by adding​ <u>81</u> to both sides.

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5 is the answer

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Answer:

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Step-by-step explanation:

<u>Define and explain:</u>

This is a right triangle, so the Pythagorean Theorem applies.

The Pythagorean Theorem states that the sum of the squared legs will equal the squared length of the hypotenuse.

The legs of a triangle are the sides that form the right angle.

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