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))^2

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

( 19/4-x )

19/4-x > 0

-x > -19/4 // * -1

x < 19/4

( x-1 )

x-1 > 0 // + 1

x > 1

( x-3/4 )

x-3/4 > 0 // + 3/4

x > 3/4

	(-oo:3/4)	(3/4:1)	(1:19/4)	(19/4:+oo)
19/4-x	+	+	+	-
x-1	-	-	+	+
x-3/4	-	+	+	+


x in (-oo:3/4) U (1:2) U (2:19/4)

(-oo:3/4) U (1:2) U (2:19/4)

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