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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
2*(x-(3/x)+1)^2+x-(3/x)-1+1 = 0
2*(x-3*x^-1+1)^2+x-3*x^-1-1+1 = 0
2*(x-3*x^-1+1)^2+x-3/x-1+1 = 0
(2*x*(x-3*x^-1+1)^2)/x+(x^2)/x-3/x+(-1*x)/x+(1*x)/x = 0
2*x*(x-3*x^-1+1)^2+x^2-1*x+1*x-3 = 0
2*x^3+5*x^2-10*x-x+x+18*x^-1-12-3 = 0
2*x^3+5*x^2-10*x-x+x+18*x^-1-15 = 0
2*x^3+5*x^2-11*x+x+18*x^-1-15 = 0
2*x^3+5*x^2-10*x+18*x^-1-15 = 0
2*x^3+5*x^2-10*x+18*x^-1-15 = 0
2*x^3+5*x^2-10*x^1+18*x^-1-15*x^0 = 0
(2*x^4+5*x^3-10*x^2-15*x^1+18*x^0)/(x^1) = 0 // * x^2
x^1*(2*x^4+5*x^3-10*x^2-15*x^1+18*x^0) = 0
x^1
2*x^4+5*x^3-10*x^2-15*x+18 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6, 9, -9, 18, -18 }
1
x = 1
2*x^4+5*x^3-10*x^2-15*x+18 = 0
1
x-1
2*x^3+7*x^2-3*x-18
2*x^4+5*x^3-10*x^2-15*x+18
x-1
2*x^3-2*x^4
7*x^3-10*x^2-15*x+18
7*x^2-7*x^3
18-3*x^2-15*x
3*x^2-3*x
18-18*x
18*x-18
0
2*x^3+7*x^2-3*x-18 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6, 9, -9, 18, -18 }
1
x = 1
2*x^3+7*x^2-3*x-18 = -12
1
-1
x = -1
2*x^3+7*x^2-3*x-18 = -10
-1
2
x = 2
2*x^3+7*x^2-3*x-18 = 20
2
-2
x = -2
2*x^3+7*x^2-3*x-18 = 0
-2
x+2
2*x^2+3*x-9
2*x^3+7*x^2-3*x-18
x+2
-2*x^3-4*x^2
3*x^2-3*x-18
-3*x^2-6*x
-9*x-18
9*x+18
0
2*x^2+3*x-9 = 0
DELTA = 3^2-(-9*2*4)
DELTA = 81
DELTA > 0
x = (81^(1/2)-3)/(2*2) or x = (-81^(1/2)-3)/(2*2)
x = 3/2 or x = -3
x in { -3, 3/2, 1, -2}
(x+3)*(x-3/2)*(x-1)*(x+2) = 0
((x+3)*(x-3/2)*(x-1)*(x+2))/x = 0
((x+3)*(x-3/2)*(x-1)*(x+2))/x = 0 // * x
(x+3)*(x-3/2)*(x-1)*(x+2) = 0
( x+2 )
x+2 = 0 // - 2
x = -2
( x+3 )
x+3 = 0 // - 3
x = -3
( x-1 )
x-1 = 0 // + 1
x = 1
( x-3/2 )
x-3/2 = 0 // + 3/2
x = 3/2
x in { -2, -3, 1, 3/2 }
| R^2-7r-18=0 | | 2kx+9=4x+kx^2 | | 4m^3-64m^2-900m=0 | | 20r^2+17r-63=0 | | y=3x^2+17x-20 | | 6.4+-4.1c-0.9-4.7c=36-3 | | 276/115 | | 5y+y-6-6y+8y-10=23+9 | | 36w^2-25t^2=0 | | -d+4d+4+7d-12=72 | | 10k^2-19+6= | | 5.62-2.9m+7.1m=52.24 | | 2y^2-11y+12= | | 2b^2+9b+7= | | 3d^2+5d+2= | | 20q^2-13qs-15s^2=0 | | 3a-5-2a=2a-e | | 8f^2+14f+3= | | 4e^2+15e+9= | | s=0.5at^2 | | 2w^2+31w+15= | | 2m^2+11m+5= | | [4(p+2q)-5r][4(p+2q)+5r]= | | [9-(m+3n)][9+(m+3n)]= | | (2-1)(2+1)= | | [(j+k)+20][(j+k)-20]= | | 4s+10=2s | | 6p^2+19p+10= | | 5k^2+17k+6= | | 4d^2+13d+3= | | 1/2t^2+3t-8 | | X^2+4x+Y^2+6y=20 |