(6x^2+17x+7)/(2x^2+7x+3)

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Solution for (6x^2+17x+7)/(2x^2+7x+3) equation:


D( x )

2*x^2+7*x+3 = 0

2*x^2+7*x+3 = 0

2*x^2+7*x+3 = 0

2*x^2+7*x+3 = 0

DELTA = 7^2-(2*3*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)-7)/(2*2) or x = (-25^(1/2)-7)/(2*2)

x = -1/2 or x = -3

x in (-oo:-3) U (-3:-1/2) U (-1/2:+oo)

(6*x^2+17*x+7)/(2*x^2+7*x+3) = 0

6*x^2+17*x+7 = 0

6*x^2+17*x+7 = 0

DELTA = 17^2-(4*6*7)

DELTA = 121

DELTA > 0

x = (121^(1/2)-17)/(2*6) or x = (-121^(1/2)-17)/(2*6)

x = -1/2 or x = -7/3

(x+7/3)*(x+1/2) = 0

2*x^2+7*x+3 = 0

2*x^2+7*x+3 = 0

DELTA = 7^2-(2*3*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)-7)/(2*2) or x = (-25^(1/2)-7)/(2*2)

x = -1/2 or x = -3

(x+3)*(x+1/2) = 0

((x+7/3)*(x+1/2))/((x+3)*(x+1/2)) = 0

( x+1/2 )

x+1/2 = 0 // - 1/2

x = -1/2

( x+7/3 )

x+7/3 = 0 // - 7/3

x = -7/3

x in { -1/2}

x = -7/3

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