y^2=(15-5x^2)/3

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Solution for y^2=(15-5x^2)/3 equation:


x in (-oo:+oo)

y^2 = (15-(5*x^2))/3 // - (15-(5*x^2))/3

y^2-((15-(5*x^2))/3) = 0

y^2-((15-5*x^2)/3) = 0

(-1*(15-5*x^2))/3+y^2 = 0

(-1*(15-5*x^2))/3+(3*y^2)/3 = 0

3*y^2-1*(15-5*x^2) = 0

5*x^2+3*y^2-15 = 0

(5*x^2+3*y^2-15)/3 = 0

(5*x^2+3*y^2-15)/3 = 0 // * 3

5*x^2+3*y^2-15 = 0

5*x^2 = -(3*y^2-15) // : 5

x^2 = (15-(3*y^2))/5

x^2 = (15-3*y^2)/5 // ^ 1/2

abs(x) = ((15-3*y^2)^(1/2))/(5^(1/2))

x = ((15-3*y^2)^(1/2))/(5^(1/2)) or x = -(((15-3*y^2)^(1/2))/(5^(1/2)))

x in { ((15-3*y^2)^(1/2))/(5^(1/2)), -(((15-3*y^2)^(1/2))/(5^(1/2))) }

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