Question

find the value of x and y if x^2+y=0 and y^2+x=0

Answer 1

${x}^{2} + y = 0. \: x + {y}^{2} = 0 \\ {x}^{2} + y = {y}^{2} + x \\ {x }^{2} - {y}^{2} = x - y \: (t.s.b.s) \\ x - y = \sqrt{x} - \sqrt{y} \\ x = \sqrt{x} - \sqrt{y} + y \\ y = x - \sqrt{x} + \sqrt{y}$
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