(4x^2+16x-21)/(2x-1)

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Solution for (4x^2+16x-21)/(2x-1) equation:


D( x )

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

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

(4*x^2+16*x-21)/(2*x-1) = 0

4*x^2+16*x-21 = 0

4*x^2+16*x-21 = 0

DELTA = 16^2-(-21*4*4)

DELTA = 592

DELTA > 0

x = (592^(1/2)-16)/(2*4) or x = (-592^(1/2)-16)/(2*4)

x = (4*37^(1/2)-16)/8 or x = (-4*37^(1/2)-16)/8

(x-((-4*37^(1/2)-16)/8))*(x-((4*37^(1/2)-16)/8)) = 0

((x-((-4*37^(1/2)-16)/8))*(x-((4*37^(1/2)-16)/8)))/(2*x-1) = 0

( x-((-4*37^(1/2)-16)/8) )

x-((-4*37^(1/2)-16)/8) = 0 // + (-4*37^(1/2)-16)/8

x = (-4*37^(1/2)-16)/8

( x-((4*37^(1/2)-16)/8) )

x-((4*37^(1/2)-16)/8) = 0 // + (4*37^(1/2)-16)/8

x = (4*37^(1/2)-16)/8

x in { (-4*37^(1/2)-16)/8, (4*37^(1/2)-16)/8 }

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