4/(7x-4x^2-3)-1/(3x-x^2-2)=0

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Solution for 4/(7x-4x^2-3)-1/(3x-x^2-2)=0 equation: 


D( x )

7*x-(4*x^2)-3 = 0

3*x-x^2-2 = 0

7*x-(4*x^2)-3 = 0

7*x-(4*x^2)-3 = 0

7*x-4*x^2-3 = 0

7*x-4*x^2-3 = 0

DELTA = 7^2-(-4*(-3)*4)

DELTA = 1

DELTA > 0

x = (1^(1/2)-7)/(-4*2) or x = (-1^(1/2)-7)/(-4*2)

x = 3/4 or x = 1

3*x-x^2-2 = 0

3*x-x^2-2 = 0

3*x-x^2-2 = 0

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

DELTA = 1

DELTA > 0

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

x = 1 or x = 2

x in (-oo:3/4) U (3/4:1) U (1:2) U (2:+oo)

4/(7*x-(4*x^2)-3)-(1/(3*x-x^2-2)) = 0

4/(7*x-4*x^2-3)-(3*x-x^2-2)^-1 = 0

4/(7*x-4*x^2-3)-1/(3*x-x^2-2) = 0

7*x-4*x^2-3 = 0

7*x-4*x^2-3 = 0

7*x-4*x^2-3 = 0

DELTA = 7^2-(-4*(-3)*4)

DELTA = 1

DELTA > 0

x = (1^(1/2)-7)/(-4*2) or x = (-1^(1/2)-7)/(-4*2)

x = 3/4 or x = 1

(x-3/4)*(x-1) = 0

3*x-x^2-2 = 0

3*x-x^2-2 = 0

3*x-x^2-2 = 0

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

DELTA = 1

DELTA > 0

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

x = 1 or x = 2

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

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

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

4-1*(x-3/4) = 0

19/4-x = 0

(19/4-x)/((x-3/4)*(x-1)) = 0

(19/4-x)/((x-3/4)*(x-1)) = 0 // * (x-3/4)*(x-1)

19/4-x = 0

19/4-x = 0 // - 19/4

-x = -19/4 // * -1

x = 19/4

x = 19/4

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