(9x^2-1)/(3x^2+2x-1)

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Solution for (9x^2-1)/(3x^2+2x-1) equation: 


D( x )

3*x^2+2*x-1 = 0

3*x^2+2*x-1 = 0

3*x^2+2*x-1 = 0

3*x^2+2*x-1 = 0

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

DELTA = 16

DELTA > 0

x = (16^(1/2)-2)/(2*3) or x = (-16^(1/2)-2)/(2*3)

x = 1/3 or x = -1

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

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

3*x^2+2*x-1 = 0

3*x^2+2*x-1 = 0

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

DELTA = 16

DELTA > 0

x = (16^(1/2)-2)/(2*3) or x = (-16^(1/2)-2)/(2*3)

x = 1/3 or x = -1

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

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

9*x^2 = 1 // : 9

x^2 = 1/9

x^2 = 1/9 // ^ 1/2

abs(x) = 1/3

x = 1/3 or x = -1/3

x in { 1/3} 

x = -1/3

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