1/2x^2+3=12

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Solution for 1/2x^2+3=12 equation: 


x in (-oo:+oo)

(1/2)*x^2+3 = 12 // - 12

(1/2)*x^2-12+3 = 0

1/2*x^2 = 9 // : 1/2

x^2 = 18

x^2 = 18 // ^ 1/2

abs(x) = 3*2^(1/2)

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

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

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