Math, asked by PriyaVaghela94821, 7 months ago

xy=72 and x+y=17 find x^2+y^2

Answers

Answered by nandika32
0

Answer:

Please mark BRAINLIEST.....

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Answered by ItsAritrakz22
1

 \large\mathfrak \pink{Solution:-}

 \underline \mathbb{GIVEN:-}

★xy = 72

★x + y = 17

 \underline \mathbb{TO  \: FIND:-}

 Value  \: of \: {x}^{2}  +  {y}^{2}  \\

  \underline \mathbb{FORMULA:-}

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

 \underline \mathbb{BY  \: THE  \: PROBLEM:-}

(x + y) {}^{2}  = {(17)}^{2}  \\  \\  \implies \:  {x}^{2}  +  {y}^{2}  + 2xy = 289\\  \\  \implies \: {x}^{2}  +  {y}^{2}  + 2 \times 72 = 289--(Putting \:value\: of \:xy)\\  \\  \implies \:{x}^{2}  +  {y}^{2}  +144 = 289\\  \\  \implies \: {x}^{2}  +  {y}^{2} = 289 - 144\\  \\  \implies \: {x}^{2}  +  {y}^{2} = 145

\underline \mathbb{ANSWER:-}

\implies \boxed  {{x}^{2}  +  {y}^{2} = 145}

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