1/2(x^2+1)-3/2(x^2-1)

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Solution for 1/2(x^2+1)-3/2(x^2-1) equation: 


x in (-oo:+oo)

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

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

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

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

2-x^2 = 0

2-x^2 = 0

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

x^2 = 2

x^2 = 2 // ^ 1/2

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

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

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

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