Question

Find the value of x²+y²if (x+y)=11 and xy=9

Answer 1

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

subsitutuing values we get=(11)^2-2×9

121-18

=103

HOPE THIS HELPS YOU OUT

Answer 2

Answer:

Step-by-step explanation:

Given: x²+y²=?

x+y=11

xy = 9

Answer: (x+y)²= x²+2xy+y²

∴ (x+y)²- 2xy = x²+y²

Now substitute the values of x+y and xy

∴ (11)² - 2 × 9 = x²+y²

x²+y²= 121-18

= 103

Answer is 103

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