Question

If x - y = 6 and xy =8 find the value of x^2+y^2

Answer 1

Answer:

${x}^{2} + {y}^{2} = {(x - y)}^{2} + 2xy \\ = {6}^{2} + 2(8) \\ = 36 + 16 \\ = 52$

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Answer 2

Answer:

52

Step-by-step explanation:

Given: x-y=6 and xy=8

therefore,  (x-y)²=6²

x²-2xy+y²=36

x²+y²=36+2xy

=36+2(8)

=36+16 =52

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