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4 Terms

1
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k - x²

x = sqrt(k)sin(t), t E [-pi/2, pi/2]

2
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k + x²

x = sart(k)tan(t), t E (-pi/2, pi/2)

3
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x² - k (tan positive in second interval)

x = sqrt(k)sec(t), t E [0, pi/2) U (pi/2, pi] or [p, pi/2) U [pi, 3pi/2)

4
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