x^2/5^2-y^2/5^2=1

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Solution for x^2/5^2-y^2/5^2=1 equation:


x in (-oo:+oo)

(x^2)/(5^2)-((y^2)/(5^2)) = 1 // - 1

(x^2)/(5^2)-((y^2)/(5^2))-1 = 0

1/25*x^2 = -(-1/25*y^2-1) // : 1/25

x^2 = 25*(1-(-1/25*y^2))

x^2 = 25*(1/25*y^2+1) // ^ 1/2

abs(x) = 5*(1/25*y^2+1)^(1/2)

x = 5*(1/25*y^2+1)^(1/2) or x = -(5*(1/25*y^2+1)^(1/2))

x in { 5*(1/25*y^2+1)^(1/2), -(5*(1/25*y^2+1)^(1/2)) }

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