(5x^2-7x+2)/(x^2-1)

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Solution for (5x^2-7x+2)/(x^2-1) equation: 


D( x )

x^2-1 = 0

x^2-1 = 0

x^2-1 = 0

1*x^2 = 1 // : 1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

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

(5*x^2-(7*x)+2)/(x^2-1) = 0

(5*x^2-7*x+2)/(x^2-1) = 0

5*x^2-7*x+2 = 0

5*x^2-7*x+2 = 0

DELTA = (-7)^2-(2*4*5)

DELTA = 9

DELTA > 0

x = (9^(1/2)+7)/(2*5) or x = (7-9^(1/2))/(2*5)

x = 1 or x = 2/5

(x-2/5)*(x-1) = 0

((x-2/5)*(x-1))/(x^2-1) = 0

( x-1 )

x-1 = 0 // + 1

x = 1

( x-2/5 )

x-2/5 = 0 // + 2/5

x = 2/5

x in { 1} 

x = 2/5

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