(1+1/2x-1/8x^2)(1+1/2x+3/8x^2)

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Solution for (1+1/2x-1/8x^2)(1+1/2x+3/8x^2) equation: 


x in (-oo:+oo)

((1/2)*x-((1/8)*x^2)+1)*((3/8)*x^2+(1/2)*x+1) = 0

((-1/8)*x^2+(1/2)*x+1)*((3/8)*x^2+(1/2)*x+1) = 0

(1/2*x-1/8*x^2+1)*(3/8*x^2+1/2*x+1) = 0

1/2*x-1/8*x^2+1 = 0

1/2*x-1/8*x^2+1 = 0

DELTA = (1/2)^2-(-1/8*1*4)

DELTA = 3/4

DELTA > 0

x = ((3/4)^(1/2)-1/2)/(-1/8*2) or x = (-(3/4)^(1/2)-1/2)/(-1/8*2)

x = -4*((3/4)^(1/2)-1/2) or x = 4*((3/4)^(1/2)+1/2)

(x+4*((3/4)^(1/2)-1/2))*(x-4*((3/4)^(1/2)+1/2)) = 0

3/8*x^2+1/2*x+1 = 0

3/8*x^2+1/2*x+1 = 0

DELTA = (1/2)^2-(3/8*1*4)

DELTA = -5/4

DELTA < 0

1 = 0

(x+4*((3/4)^(1/2)-1/2))*(x-4*((3/4)^(1/2)+1/2)) = 0

( x+4*((3/4)^(1/2)-1/2) )

x+4*((3/4)^(1/2)-1/2) = 0 // - 4*((3/4)^(1/2)-1/2)

x = -(4*((3/4)^(1/2)-1/2))

x = -4*((3/4)^(1/2)-1/2)

( x-4*((3/4)^(1/2)+1/2) )

x-4*((3/4)^(1/2)+1/2) = 0 // + -4*((3/4)^(1/2)+1/2)

x = -(-4*((3/4)^(1/2)+1/2))

x = 4*((3/4)^(1/2)+1/2)

x in { -4*((3/4)^(1/2)-1/2), 4*((3/4)^(1/2)+1/2) }

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