Question

If xy = 6 and x + y = 5 then the value of x2 + y2 is

Answer 1

13 will be the and. centpercent

Answer 2

If xy = 6 and x + y = 5 then the value of x² + y² = 13

Given :

xy = 6 and x + y = 5

To find :

The value of the expression x² + y²

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that

xy = 6 and x + y = 5

Step 2 of 2 :

Find the value of the expression

$\sf {x}^{2} + {y}^{2}$

$\sf = {(x + y)}^{2} - 2xy$

$\sf = {5}^{2} - 2 \times 6$

$\sf = 25 - 12$

$\sf = 13$

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