1/(4x+2)+1/(4x-2)=2

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Solution for 1/(4x+2)+1/(4x-2)=2 equation:


D( x )

4*x+2 = 0

4*x-2 = 0

4*x+2 = 0

4*x+2 = 0

4*x+2 = 0 // - 2

4*x = -2 // : 4

x = -2/4

x = -1/2

4*x-2 = 0

4*x-2 = 0

4*x-2 = 0 // + 2

4*x = 2 // : 4

x = 2/4

x = 1/2

x in (-oo:-1/2) U (-1/2:1/2) U (1/2:+oo)

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

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

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

1*(4*x-2)+1*(4*x+2)-2*(4*x+2)*(4*x-2) = 0

8*x-32*x^2+8 = 0

8*x-32*x^2+8 = 0

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

x-4*x^2+1 = 0

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

DELTA = 17

DELTA > 0

x = (17^(1/2)-1)/(-4*2) or x = (-17^(1/2)-1)/(-4*2)

x = (17^(1/2)-1)/(-8) or x = (17^(1/2)+1)/8

8*(x-((17^(1/2)-1)/(-8)))*(x-((17^(1/2)+1)/8)) = 0

(8*(x-((17^(1/2)-1)/(-8)))*(x-((17^(1/2)+1)/8)))/((4*x+2)*(4*x-2)) = 0

(8*(x-((17^(1/2)-1)/(-8)))*(x-((17^(1/2)+1)/8)))/((4*x+2)*(4*x-2)) = 0 // * (4*x+2)*(4*x-2)

8*(x-((17^(1/2)-1)/(-8)))*(x-((17^(1/2)+1)/8)) = 0

( x-((17^(1/2)+1)/8) )

x-((17^(1/2)+1)/8) = 0 // + (17^(1/2)+1)/8

x = (17^(1/2)+1)/8

( x-((17^(1/2)-1)/(-8)) )

x-((17^(1/2)-1)/(-8)) = 0 // + (17^(1/2)-1)/(-8)

x = (17^(1/2)-1)/(-8)

x in { (17^(1/2)+1)/8, (17^(1/2)-1)/(-8) }

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