4X+Y2=20

4x + y^2 = 20 - subtract 4x from both sides

y^2 = 20 - 4x => y = +/- sqrt{20 - 4x}, where 20 - 4x >= 0 or x <= 5.

Answer: y = */- sqrt{20 - 4x} two solutions if x < 5; y = 0 if x = 5; no solutions if x >5.

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