Math, asked by nishitamedhi8, 10 months ago

if x-y=17,xy=89,find the value of x²+y²​

Answers

Answered by gorgeous45
2

Answer:

 ({x - y})^{2}  =  {x}^{2}  +  {y }^{2}  -2xy \\  {17}^{2}   =  {x}^{2}  +  {y}^{2}  - 2(89) \\ 289 =  {x}^{2}  +  {y}^{2}  - 178 \\ 289 + 178 =  {x}^{2}  +  {y}^{2}  \\ 467 =  {x}^{2}  +  {y}^{2}

I hope you are satisfied with this answer.

Answered by Anonymous
0

Answer:

111

Step-by-step explanation:

=x^2-y^2=x^2+y^2-2xy

=17^2=x^2+y^2-2×89

=17^2=x^2+y^2-178

=289-178=x^2+y^2

=111=x^2+y^2

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