z=4-1/9x^2-1/16y^2

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Solution for z=4-1/9x^2-1/16y^2 equation:


x in (-oo:+oo)

z = 4-((1/9)*x^2)-((1/16)*y^2) // - 4-((1/9)*x^2)-((1/16)*y^2)

(1/9)*x^2+(1/16)*y^2+z-4 = 0

1/9*x^2 = -(1/16*y^2+z-4) // : 1/9

x^2 = 9*(4-(1/16*y^2)-z)

x^2 = 9*(4-1/16*y^2-z) // ^ 1/2

abs(x) = 3*(4-1/16*y^2-z)^(1/2)

x = 3*(4-1/16*y^2-z)^(1/2) or x = -(3*(4-1/16*y^2-z)^(1/2))

x in { 3*(4-1/16*y^2-z)^(1/2), -(3*(4-1/16*y^2-z)^(1/2)) }

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