x^2-16+3(x^2-16)^1/2-18=0

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Solution for x^2-16+3(x^2-16)^1/2-18=0 equation:


x in (-oo:+oo)

(3*(x^2-16)^1)/2+x^2-18-16 = 0

(3*(x^2-16))/2+x^2-18-16 = 0

(3*(x^2-16))/2+(2*x^2)/2+(-18*2)/2+(-16*2)/2 = 0

3*(x^2-16)+2*x^2-18*2-16*2 = 0

5*x^2-48-36-32 = 0

5*x^2-84-32 = 0

5*x^2-116 = 0

(5*x^2-116)/2 = 0

(5*x^2-116)/2 = 0 // * 2

5*x^2-116 = 0

5*x^2 = 116 // : 5

x^2 = 116/5

x^2 = 116/5 // ^ 1/2

abs(x) = (116/5)^(1/2)

x = (116/5)^(1/2) or x = -(116/5)^(1/2)

x in { (116/5)^(1/2), -(116/5)^(1/2) }

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