Question

if x-y =17 and xy=89 find the value of X^2+y^2
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Answer 1

Step-by-step explanation:

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

Answer 2

Answer:

467

Step-by-step explanation:

(x-y)²=x²+y²-2xy

x²+y²=(x-y)²+2xy

here xy=89, x-y=17

x²+y²=(17)²+2*89

x²+y²=289+178

      =467

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