(1/4z^2)-(1/9z^2)=(1/24)

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Solution for (1/4z^2)-(1/9z^2)=(1/24) equation: 


z in (-oo:+oo)

(1/4)*z^2-((1/9)*z^2) = 1/24 // - 1/24

(1/4)*z^2-((1/9)*z^2)-(1/24) = 0

(1/4)*z^2+(-1/9)*z^2-1/24 = 0

5/36*z^2 = 1/24 // : 5/36

z^2 = 3/10

z^2 = 3/10 // ^ 1/2

abs(z) = (3/10)^(1/2)

z = (3/10)^(1/2) or z = -(3/10)^(1/2)

z in { (3/10)^(1/2), -(3/10)^(1/2) }

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