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D( x )
x = 0
x-1 = 0
x = 0
x = 0
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:0) U (0:1) U (1:+oo)
3/(x-1)+6/x-1 = 1/x-1+2 // - 1/x-1+2
3/(x-1)+6/x-(1/x)-2-1+1 = 0
3/(x-1)+6/x-x^-1-2-1+1 = 0
3/(x-1)+6/x-1/x-2-1+1 = 0
(3*x)/(x*(x-1))+(6*(x-1))/(x*(x-1))+(-1*(x-1))/(x*(x-1))+(-2*x*(x-1))/(x*(x-1))+(-1*x*(x-1))/(x*(x-1))+(1*x*(x-1))/(x*(x-1)) = 0
6*(x-1)-1*(x-1)-2*x*(x-1)-1*x*(x-1)+1*x*(x-1)+3*x = 0
x^2-2*x^2-x^2+9*x-x+2*x+x-x-6+1 = 0
x^2-2*x^2-x^2+8*x+2*x+x-x-5 = 0
x^2-2*x^2-x^2+10*x+x-x-5 = 0
x^2-3*x^2+11*x-x-5 = 0
10*x-2*x^2-5 = 0
10*x-2*x^2-5 = 0
10*x-2*x^2-5 = 0
DELTA = 10^2-(-5*(-2)*4)
DELTA = 60
DELTA > 0
x = (60^(1/2)-10)/(-2*2) or x = (-60^(1/2)-10)/(-2*2)
x = (2*15^(1/2)-10)/(-4) or x = (-2*15^(1/2)-10)/(-4)
(x-((2*15^(1/2)-10)/(-4)))*(x-((-2*15^(1/2)-10)/(-4))) = 0
((x-((2*15^(1/2)-10)/(-4)))*(x-((-2*15^(1/2)-10)/(-4))))/(x*(x-1)) = 0
((x-((2*15^(1/2)-10)/(-4)))*(x-((-2*15^(1/2)-10)/(-4))))/(x*(x-1)) = 0 // * x*(x-1)
(x-((2*15^(1/2)-10)/(-4)))*(x-((-2*15^(1/2)-10)/(-4))) = 0
( x-((-2*15^(1/2)-10)/(-4)) )
x-((-2*15^(1/2)-10)/(-4)) = 0 // + (-2*15^(1/2)-10)/(-4)
x = (-2*15^(1/2)-10)/(-4)
( x-((2*15^(1/2)-10)/(-4)) )
x-((2*15^(1/2)-10)/(-4)) = 0 // + (2*15^(1/2)-10)/(-4)
x = (2*15^(1/2)-10)/(-4)
x in { (-2*15^(1/2)-10)/(-4), (2*15^(1/2)-10)/(-4) }
| (4x-5)(2x+9)= | | -3m-15=6 | | 0.7w+16+14w=27.28 | | 18+9/4r=-18 | | 3/5y=12 | | 74=3w+14 | | 3.8*20+5=r-6.3 | | 3(t-4)+6=6 | | 4x-7=5+8x | | -(3y+3)-(-2y-4)=-7 | | 4x-8=10x-14 | | -6x-16=-130 | | 6a^2=200 | | 150(3-x)=100x | | 30=3(w+6)-6w | | 2(8)+1b=36 | | 0=2x^2+4x-198 | | 9*n=-8 | | 2(x+3)=4x+8 | | 2q/3+5/q-q/6=5q/6-2/18 | | 2/3y=-3-1/2x | | 3+5(x-2)=18 | | 9(t-2)+3t=6(2t+4)-10 | | u/2-10=4 | | 3x=2-2/3y | | t-3.5=1.4+1.3 | | p+2(p-1)=2 | | 4r^2-5=59 | | 1/2+6a-18=0 | | ln(x^2-x)=2 | | x[x+4]+x[x-3]= | | 3.14x^2=60 |