(28x^2-17x-3)/(4x-3)

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Solution for (28x^2-17x-3)/(4x-3) equation: 


D( x )

4*x-3 = 0

4*x-3 = 0

4*x-3 = 0

4*x-3 = 0 // + 3

4*x = 3 // : 4

x = 3/4

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

(28*x^2-(17*x)-3)/(4*x-3) = 0

(28*x^2-17*x-3)/(4*x-3) = 0

28*x^2-17*x-3 = 0

28*x^2-17*x-3 = 0

DELTA = (-17)^2-(-3*4*28)

DELTA = 625

DELTA > 0

x = (625^(1/2)+17)/(2*28) or x = (17-625^(1/2))/(2*28)

x = 3/4 or x = -1/7

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

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

( x+1/7 )

x+1/7 = 0 // - 1/7

x = -1/7

( x-3/4 )

x-3/4 = 0 // + 3/4

x = 3/4

x in { 3/4} 

x = -1/7

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