(5x^2+6x-5)/(x+2)

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Solution for (5x^2+6x-5)/(x+2) equation: 


D( x )

x+2 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

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

(5*x^2+6*x-5)/(x+2) = 0

5*x^2+6*x-5 = 0

5*x^2+6*x-5 = 0

DELTA = 6^2-(-5*4*5)

DELTA = 136

DELTA > 0

x = (136^(1/2)-6)/(2*5) or x = (-136^(1/2)-6)/(2*5)

x = (2*34^(1/2)-6)/10 or x = (-2*34^(1/2)-6)/10

(x-((-2*34^(1/2)-6)/10))*(x-((2*34^(1/2)-6)/10)) = 0

((x-((-2*34^(1/2)-6)/10))*(x-((2*34^(1/2)-6)/10)))/(x+2) = 0

( x-((-2*34^(1/2)-6)/10) )

x-((-2*34^(1/2)-6)/10) = 0 // + (-2*34^(1/2)-6)/10

x = (-2*34^(1/2)-6)/10

( x-((2*34^(1/2)-6)/10) )

x-((2*34^(1/2)-6)/10) = 0 // + (2*34^(1/2)-6)/10

x = (2*34^(1/2)-6)/10

x in { (-2*34^(1/2)-6)/10, (2*34^(1/2)-6)/10 }

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