if x+y =5 and xy =6 then fing sum of the square of x and y​

Question

if x+y =5 and xy =6 then fing sum of the square of x and y​

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Adalynn 2 weeks 2021-09-04T17:53:01+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-04T17:54:04+00:00

    Answer:

    x²+y²=13

    Step-by-step explanation:

    x+y=5\\xy=6\\\\(x+y)^2=5^2\\x^2+y^2+2xy=25\\x^2+y^2+2(6)=25\\x^2+y^2=25-12=13

    Hope this helps!

    <3

    0
    2021-09-04T17:54:17+00:00

    Answer :

    x² + y² = 13

    Solution :

    • Given : x + y = 5 , xy = 6
    • To find : x² + y² = ?

    We have ;

    x + y = 5

    Now ,

    Squaring both the sides , we have ;

    => (x + y)² = 5²

    => x² + y² + 2xy = 25

    => x² + y² + 2•6 = 25

    => x² + y² + 12 = 25

    => x² + y² = 25 – 12

    => x² + y² = 13

    Hence ,

    x² + y² = 13 .

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