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D( x )
14-(2*x) = 0
x^2-(7*x) = 0
14-(2*x) = 0
14-(2*x) = 0
14-2*x = 0
14-2*x = 0 // - 14
-2*x = -14 // : -2
x = -14/(-2)
x = 7
x^2-(7*x) = 0
x^2-(7*x) = 0
x^2-7*x = 0
x^2-7*x = 0
DELTA = (-7)^2-(0*1*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+7)/(1*2) or x = (7-49^(1/2))/(1*2)
x = 7 or x = 0
x in (-oo:0) U (0:7) U (7:+oo)
(-(3*x)-8)/(x^2-(7*x)) = (4*x)/(14-(2*x)) // - (4*x)/(14-(2*x))
(-(3*x)-8)/(x^2-(7*x))-((4*x)/(14-(2*x))) = 0
(-3*x-8)/(x^2-7*x)-4*x*(14-2*x)^-1 = 0
(-3*x-8)/(x^2-7*x)+(-4*x)/(14-2*x) = 0
x^2-7*x = 0
x^2-7*x = 0
x*(x-7) = 0
x-7 = 0 // + 7
x = 7
x*(x-7) = 0
(-3*x-8)/(x*(x-7))+(-4*x)/(14-2*x) = 0
((-3*x-8)*(14-2*x))/(x*(x-7)*(14-2*x))+(-4*x*x*(x-7))/(x*(x-7)*(14-2*x)) = 0
(-3*x-8)*(14-2*x)-4*x*x*(x-7) = 0
34*x^2-4*x^3-26*x-112 = 0
34*x^2-4*x^3-26*x-112 = 0
2*(17*x^2-2*x^3-13*x-56) = 0
17*x^2-2*x^3-13*x-56 = 0
{ 1, -1, 2, -2, 4, -4, 7, -7, 8, -8, 14, -14, 28, -28, 56, -56 }
1
x = 1
17*x^2-2*x^3-13*x-56 = -54
1
-1
x = -1
17*x^2-2*x^3-13*x-56 = -24
-1
2
x = 2
17*x^2-2*x^3-13*x-56 = -30
2
-2
x = -2
17*x^2-2*x^3-13*x-56 = 54
-2
4
x = 4
17*x^2-2*x^3-13*x-56 = 36
4
-4
x = -4
17*x^2-2*x^3-13*x-56 = 396
-4
7
x = 7
17*x^2-2*x^3-13*x-56 = 0
7
x-7
3*x-2*x^2+8
17*x^2-2*x^3-13*x-56
x-7
2*x^3-14*x^2
3*x^2-13*x-56
21*x-3*x^2
8*x-56
56-8*x
0
3*x-2*x^2+8 = 0
DELTA = 3^2-(-2*4*8)
DELTA = 73
DELTA > 0
x = (73^(1/2)-3)/(-2*2) or x = (-73^(1/2)-3)/(-2*2)
x = (73^(1/2)-3)/(-4) or x = (73^(1/2)+3)/4
x in { (73^(1/2)-3)/(-4), (73^(1/2)+3)/4, 7}
2*(x-((73^(1/2)-3)/(-4)))*(x-((73^(1/2)+3)/4))*(x-7) = 0
(2*(x-((73^(1/2)-3)/(-4)))*(x-((73^(1/2)+3)/4))*(x-7))/(x*(x-7)*(14-2*x)) = 0
(2*(x-((73^(1/2)-3)/(-4)))*(x-((73^(1/2)+3)/4))*(x-7))/(x*(x-7)*(14-2*x)) = 0 // * x*(x-7)*(14-2*x)
2*(x-((73^(1/2)-3)/(-4)))*(x-((73^(1/2)+3)/4))*(x-7) = 0
( x-((73^(1/2)+3)/4) )
x-((73^(1/2)+3)/4) = 0 // + (73^(1/2)+3)/4
x = (73^(1/2)+3)/4
( x-((73^(1/2)-3)/(-4)) )
x-((73^(1/2)-3)/(-4)) = 0 // + (73^(1/2)-3)/(-4)
x = (73^(1/2)-3)/(-4)
( x-7 )
x-7 = 0 // + 7
x = 7
x in { 7}
x in { (73^(1/2)+3)/4, (73^(1/2)-3)/(-4) }
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