Math, asked by shashankswain11, 9 months ago

) If (x+y)=2 and xy=2 , then the value of x2+y2 is​

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Answered by cutie08
10

 \color {red} </p><p>\Large \underline {\underline {Question \: :}}

If x + y = 2 and xy = 2, then find the value of x² + y².

 \color {red} </p><p>\Large \underline {\underline {To \: find \: :}}

The value of x² + y²

 \color {red} </p><p>\Large \underline {\underline {Given \: :}}

  • x + y = 2
  • xy = 2

 \color {red} </p><p>\Large \underline {\underline {We \: know \: :}}

(x + y) {}^{2}  =  {x}^{2}  + 2xy +  {y}^{2}

 \color {red} </p><p>\Large \underline {\underline {Solution \: :}}

(x + y) {}^{2}  =  {x}^{2}  + 2xy +  {y}^{2}

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

Put the values here.

 {2}^{2}  - 2(2) =  {x}^{2}  +  {y}^{2}

4 - 4 =  {x}^{2}  +  {y}^{2}

0 =  {x}^{2}  +  {y}^{2}

 \implies So, the value of + is 0

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Answered by secretask
1

Answer:

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