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8090 [49]
3 years ago
8

Will give brainiest algebra 2

Mathematics
1 answer:
mars1129 [50]3 years ago
7 0

The sum of squares of numbers is: 13

Step-by-step explanation:

Let x and y be two numbers

Then,

Difference of the squares of the numbers will be:

x^2-y^2

Product will be:

xy

Given identity is:

(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2

Given values are:

Difference of the squares of the numbers=x^2-y^2=5

Product of numbers = xy = 6

Putting the values in the identity

(x^2+y^2)^2=(5)^2+[2(6)]^2\\=25+(12)^2\\=25+144\\=169

As we have to only find x^2+y^2

Taking square root on both sides

\sqrt{(x^2+y^2)^2}=\sqrt{169}\\x^2+y^2=13

The sum of squares of numbers is: 13

Keywords: Identities

Learn more about identities at:

  • brainly.com/question/8902155
  • brainly.com/question/8955867

#LearnwithBrainly

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