(2x^2+15x+2)/(2x+1)

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Solution for (2x^2+15x+2)/(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)

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

2*x^2+15*x+2 = 0

2*x^2+15*x+2 = 0

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

DELTA = 209

DELTA > 0

x = (209^(1/2)-15)/(2*2) or x = (-209^(1/2)-15)/(2*2)

x = (209^(1/2)-15)/4 or x = (-(209^(1/2)+15))/4

(x+(209^(1/2)+15)/4)*(x-((209^(1/2)-15)/4)) = 0

((x+(209^(1/2)+15)/4)*(x-((209^(1/2)-15)/4)))/(2*x+1) = 0

( x+(209^(1/2)+15)/4 )

x+(209^(1/2)+15)/4 = 0 // - (209^(1/2)+15)/4

x = -((209^(1/2)+15)/4)

( x-((209^(1/2)-15)/4) )

x-((209^(1/2)-15)/4) = 0 // + (209^(1/2)-15)/4

x = (209^(1/2)-15)/4

x in { -((209^(1/2)+15)/4), (209^(1/2)-15)/4 }

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