(x^2-5x+6)/(x^2-7x+6)*(x^2+x-42)/(21-4x-x^2)

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Solution for (x^2-5x+6)/(x^2-7x+6)*(x^2+x-42)/(21-4x-x^2) equation: 


D( x )

x^2-(7*x)+6 = 0

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

x^2-(7*x)+6 = 0

x^2-(7*x)+6 = 0

x^2-7*x+6 = 0

x^2-7*x+6 = 0

DELTA = (-7)^2-(1*4*6)

DELTA = 25

DELTA > 0

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

x = 6 or x = 1

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

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

21-x^2-4*x = 0

21-x^2-4*x = 0

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

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:-7) U (-7:1) U (1:3) U (3:6) U (6:+oo)

(((x^2-(5*x)+6)/(x^2-(7*x)+6))*(x^2+x-42))/(21-x^2-(4*x)) = 0

(((x^2-5*x+6)/(x^2-7*x+6))*(x^2+x-42))/(21-x^2-4*x) = 0

((x^2-5*x+6)*(x^2+x-42))/((x^2-7*x+6)*(21-x^2-4*x)) = 0

x^2-5*x+6 = 0

x^2-5*x+6 = 0

DELTA = (-5)^2-(1*4*6)

DELTA = 1

DELTA > 0

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

x = 3 or x = 2

(x-2)*(x-3) = 0

x^2-7*x+6 = 0

x^2-7*x+6 = 0

DELTA = (-7)^2-(1*4*6)

DELTA = 25

DELTA > 0

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

x = 6 or x = 1

(x-1)*(x-6) = 0

x^2+x-42 = 0

x^2+x-42 = 0

DELTA = 1^2-(-42*1*4)

DELTA = 169

DELTA > 0

x = (169^(1/2)-1)/(1*2) or x = (-169^(1/2)-1)/(1*2)

x = 6 or x = -7

(x+7)*(x-6) = 0

21-x^2-4*x = 0

21-x^2-4*x = 0

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

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+7)*(x-3) = 0

((x-2)*(x-3)*(x+7)*(x-6))/((x-1)*(x-6)*(x+7)*(x-3)) = 0

( x+7 )

x+7 = 0 // - 7

x = -7

( x-2 )

x-2 = 0 // + 2

x = 2

( x-3 )

x-3 = 0 // + 3

x = 3

( x-6 )

x-6 = 0 // + 6

x = 6

x in { -7} 

x in { 3} 

x in { 6} 

x = 2

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