Question

if x+y=12 and xy=12 find x^2+y^2​

Answer 1

Step-by-step explanation:

x + y = 12

xy = 12

we know that (a + b)² = a² + b² + 2ab

=> (x + y)² = x² + y² + 2xy

=> ( 12 )² = x² + y² + 2(12)

=> 144 = x² + y² + 24

=> x² + y² = 144-24

=> x²+ y² = 120

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Answer 2

Answer:

$(x + y {)}^{2} = {x}^{2} + {y}^{2} + 2xy \\ {x}^{2} + {y}^{2} = (x + y {)}^{2} - 2xy \\ now \: x + y = 12 \: \\ xy = 12(given) \\ x {}^{2} + {y}^{2} = {12}^{2} - 2 \times 12 \\ = 144 - 24 = 120$

hope it will help you