(1)/(4x+5)+(1)/(4x-5)=1

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Solution for (1)/(4x+5)+(1)/(4x-5)=1 equation:


D( x )

4*x+5 = 0

4*x-5 = 0

4*x+5 = 0

4*x+5 = 0

4*x+5 = 0 // - 5

4*x = -5 // : 4

x = -5/4

4*x-5 = 0

4*x-5 = 0

4*x-5 = 0 // + 5

4*x = 5 // : 4

x = 5/4

x in (-oo:-5/4) U (-5/4:5/4) U (5/4:+oo)

1/(4*x+5)+1/(4*x-5) = 1 // - 1

1/(4*x+5)+1/(4*x-5)-1 = 0

(1*(4*x-5))/((4*x+5)*(4*x-5))+(1*(4*x+5))/((4*x+5)*(4*x-5))+(-1*(4*x+5)*(4*x-5))/((4*x+5)*(4*x-5)) = 0

1*(4*x-5)+1*(4*x+5)-1*(4*x+5)*(4*x-5) = 0

8*x-16*x^2+25 = 0

8*x-16*x^2+25 = 0

8*x-16*x^2+25 = 0

DELTA = 8^2-(-16*4*25)

DELTA = 1664

DELTA > 0

x = (1664^(1/2)-8)/(-16*2) or x = (-1664^(1/2)-8)/(-16*2)

x = (8*26^(1/2)-8)/(-32) or x = (-8*26^(1/2)-8)/(-32)

(x-((8*26^(1/2)-8)/(-32)))*(x-((-8*26^(1/2)-8)/(-32))) = 0

((x-((8*26^(1/2)-8)/(-32)))*(x-((-8*26^(1/2)-8)/(-32))))/((4*x+5)*(4*x-5)) = 0

((x-((8*26^(1/2)-8)/(-32)))*(x-((-8*26^(1/2)-8)/(-32))))/((4*x+5)*(4*x-5)) = 0 // * (4*x+5)*(4*x-5)

(x-((8*26^(1/2)-8)/(-32)))*(x-((-8*26^(1/2)-8)/(-32))) = 0

( x-((-8*26^(1/2)-8)/(-32)) )

x-((-8*26^(1/2)-8)/(-32)) = 0 // + (-8*26^(1/2)-8)/(-32)

x = (-8*26^(1/2)-8)/(-32)

( x-((8*26^(1/2)-8)/(-32)) )

x-((8*26^(1/2)-8)/(-32)) = 0 // + (8*26^(1/2)-8)/(-32)

x = (8*26^(1/2)-8)/(-32)

x in { (-8*26^(1/2)-8)/(-32), (8*26^(1/2)-8)/(-32) }

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