(4x^2+15x-25)/(4x^2-1)

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Solution for (4x^2+15x-25)/(4x^2-1) equation:


D( x )

4*x^2-1 = 0

4*x^2-1 = 0

4*x^2-1 = 0

4*x^2 = 1 // : 4

x^2 = 1/4

x^2 = 1/4 // ^ 1/2

abs(x) = 1/2

x = 1/2 or x = -1/2

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

(4*x^2+15*x-25)/(4*x^2-1) = 0

4*x^2+15*x-25 = 0

4*x^2+15*x-25 = 0

DELTA = 15^2-(-25*4*4)

DELTA = 625

DELTA > 0

x = (625^(1/2)-15)/(2*4) or x = (-625^(1/2)-15)/(2*4)

x = 5/4 or x = -5

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

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

( x+5 )

x+5 = 0 // - 5

x = -5

( x-5/4 )

x-5/4 = 0 // + 5/4

x = 5/4

x in { -5, 5/4 }

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