(x^2+4x+21)/(x^2-4x-21)-(9x+35)/(x^2-4x-21)

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Solution for (x^2+4x+21)/(x^2-4x-21)-(9x+35)/(x^2-4x-21) equation:


D( x )

x^2-(4*x)-21 = 0

x^2-(4*x)-21 = 0

x^2-(4*x)-21 = 0

x^2-4*x-21 = 0

x^2-4*x-21 = 0

DELTA = (-4)^2-(-21*1*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)+4)/(1*2) or x = (4-100^(1/2))/(1*2)

x = 7 or x = -3

x in (-oo:-3) U (-3:7) U (7:+oo)

(x^2+4*x+21)/(x^2-(4*x)-21)-((9*x+35)/(x^2-(4*x)-21)) = 0

(x^2+4*x+21)/(x^2-4*x-21)-((9*x+35)/(x^2-4*x-21)) = 0

(x^2+4*x+21)/(x^2-4*x-21)+(-1*(9*x+35))/(x^2-4*x-21) = 0

x^2-4*x-21 = 0

x^2-4*x-21 = 0

x^2-4*x-21 = 0

DELTA = (-4)^2-(-21*1*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)+4)/(1*2) or x = (4-100^(1/2))/(1*2)

x = 7 or x = -3

(x+3)*(x-7) = 0

(x^2+4*x+21)/((x+3)*(x-7))+(-1*(9*x+35))/((x+3)*(x-7)) = 0

x^2-1*(9*x+35)+4*x+21 = 0

x^2-5*x-14 = 0

x^2-5*x-14 = 0

x^2-5*x-14 = 0

DELTA = (-5)^2-(-14*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)+5)/(1*2) or x = (5-81^(1/2))/(1*2)

x = 7 or x = -2

(x+2)*(x-7) = 0

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

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

(x+2)*(x-7) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-7 )

x-7 = 0 // + 7

x = 7

x in { 7}

x = -2

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