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Arlecino [84]
3 years ago
5

If (x + y)^2 = 1 and xy = -4, what is the value of x^2 + y^2?

Mathematics
1 answer:
weqwewe [10]3 years ago
3 0

Answer:

(x + y)^{2} = 1\\xy = -4\\x^{2} + y^{2} \\= x^{2} + 2xy + y^{2}  - 2xy \\=  (x^{2} + 2xy + y^{2})  - 2xy\\= (x+y)^{2} - 2xy\\= 1 - 2 *(-4) \\= 9

Hope this helps!

:)

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