Math, asked by Anonymous, 11 months ago

solve this question

 {x}^{2}  \times {y}^{2}  = 40 \\
find x and y​

Answers

Answered by Anonymous
2

Step-by-step explanation:

x^2+y^2 = 40

=> (xy)^2 = 40

=> xy = √40

=> xy = 2√10

•°• either X = 2 & y = √10 or X = √10 & y = 2

Answered by Anonymous
78

Question ;

Solve this question :

x^2  \times  y^2 = 40

Solution :

  \implies x^2  \times  y^2 = 40 \\ \implies  {(xy)}^{2}  = 40 \\ \implies xy =  \sqrt{40}  \\ \implies xy =  \sqrt{2 \times 2 \times 2 \times 5 }  \\ \implies xy =   2 \sqrt{10}

\boxed{\green {\therefore {x=2\: and\: y=\sqrt{10}\:or\:x=\sqrt{10}\:and\:y=2}}}

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