(2x^2+7x+3)/(x^2-2x-15)

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Solution for (2x^2+7x+3)/(x^2-2x-15) equation:


D( x )

x^2-(2*x)-15 = 0

x^2-(2*x)-15 = 0

x^2-(2*x)-15 = 0

x^2-2*x-15 = 0

x^2-2*x-15 = 0

DELTA = (-2)^2-(-15*1*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)+2)/(1*2) or x = (2-64^(1/2))/(1*2)

x = 5 or x = -3

x in (-oo:-3) U (-3:5) U (5:+oo)

(2*x^2+7*x+3)/(x^2-(2*x)-15) = 0

(2*x^2+7*x+3)/(x^2-2*x-15) = 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^2-2*x-15 = 0

x^2-2*x-15 = 0

DELTA = (-2)^2-(-15*1*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)+2)/(1*2) or x = (2-64^(1/2))/(1*2)

x = 5 or x = -3

(x+3)*(x-5) = 0

((x+3)*(x+1/2))/((x+3)*(x-5)) = 0

( x+1/2 )

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

x = -1/2

( x+3 )

x+3 = 0 // - 3

x = -3

x in { -3}

x = -1/2

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