Question

if x+y=9 and xy=20 th thn find the value of x square +y Square​

Answer 1

Step-by-step explanation:

${(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy \\ {9}^{2} = {x}^{2} + {y}^{2} + 2(20) \\ 81 = {x}^{2} + {y}^{2} + 40 \\ {x}^{2} + {y}^{2} = 41$

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Answer 2

Answer:

41

Step-by-step explanation:

x+y = 9

(x+y)² = 9²

x²+2xy+y² = 81

x²+y²+2(20) = 81

x²+y²+40 = 81

x²+y² = 81-40

x²+y² = 41