Question

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

Answer 1

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 .

Answer 2

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!

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