Question

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

Answer 1

Answer:

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

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Answer 2

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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