Math, asked by mukhopadhyaysumita6, 6 months ago

x+y if xy=8and x^2+y^2=9​

Answers

Answered by applebeauty
4

Step-by-step explanation:

 {x}^{2}  +  {y}^{2}  = 9 \\  \\  \\  \\ ( {x + y})^{2}  =  {x}^{2}  +  {y}^{2}  + 2xy \\  \\ but \:  {x}^{2}  +  {y}^{2}  = 9 \\ and \: xy = 8 \\ ( {x + y})^{2}  = 9 + 2(8) \\ ( {x + y})^{2}  = 9 + 16 \\  \\  \:  \:  \:  = 25 \\  \\ ( { x+ y})^{2}  =  {5}^{2}  \\  x+ y = 5

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