(4*x^6-8*x^5+3*x^4+2*x^3-x^2)/(4*x^3-6*x^2+2*x)

Simple and best practice solution for (4*x^6-8*x^5+3*x^4+2*x^3-x^2)/(4*x^3-6*x^2+2*x) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (4*x^6-8*x^5+3*x^4+2*x^3-x^2)/(4*x^3-6*x^2+2*x) equation: 


D( x )

4*x^3-(6*x^2)+2*x = 0

4*x^3-(6*x^2)+2*x = 0

4*x^3-(6*x^2)+2*x = 0

4*x^3-6*x^2+2*x = 0

4*x^3-6*x^2+2*x = 0

2*x*(2*x^2-3*x+1) = 0

2*x^2-3*x+1 = 0

DELTA = (-3)^2-(1*2*4)

DELTA = 1

DELTA > 0

x = (1^(1/2)+3)/(2*2) or x = (3-1^(1/2))/(2*2)

x = 1 or x = 1/2

2*x = 0

2*x = 0 // : 2

x = 0

x in (-oo:0) U (0:1/2) U (1/2:1) U (1:+oo)

(4*x^6-(8*x^5)+3*x^4+2*x^3-x^2)/(4*x^3-(6*x^2)+2*x) = 0

(4*x^6-8*x^5+3*x^4+2*x^3-x^2)/(4*x^3-6*x^2+2*x) = 0

4*x^6-8*x^5+3*x^4+2*x^3-x^2 = 0

x^2*(4*x^4-8*x^3+3*x^2+2*x-1) = 0

4*x^4-8*x^3+3*x^2+2*x-1 = 0

{ 1, -1 }

1

x = 1

4*x^4-8*x^3+3*x^2+2*x-1 = 0

1

x-1

4*x^3-4*x^2-x+1

4*x^4-8*x^3+3*x^2+2*x-1

x-1

4*x^3-4*x^4

3*x^2-4*x^3+2*x-1

4*x^3-4*x^2

2*x-x^2-1

x^2-x

x-1

1-x

0

4*x^3-4*x^2-x+1 = 0

{ 1, -1 }

1

x = 1

4*x^3-4*x^2-x+1 = 0

1

x-1

4*x^2-1

4*x^3-4*x^2-x+1

x-1

4*x^2-4*x^3

1-x

x-1

0

4*x^2-1 = 0

DELTA = 0^2-(-1*4*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)+0)/(2*4) or x = (0-16^(1/2))/(2*4)

x = 1/2 or x = -1/2

x in { -1/2, 1/2, 1, 1} 

x^2*(x+1/2)*(x-1/2)*(x-1)^2 = 0

4*x^3-6*x^2+2*x = 0

2*x*(2*x^2-3*x+1) = 0

2*x^2-3*x+1 = 0

DELTA = (-3)^2-(1*2*4)

DELTA = 1

DELTA > 0

x = (1^(1/2)+3)/(2*2) or x = (3-1^(1/2))/(2*2)

x = 1 or x = 1/2

2*x*(x-1/2)*(x-1) = 0

(x^2*(x+1/2)*(x-1/2)*(x-1)^2)/(2*x*(x-1/2)*(x-1)) = 0

( x+1/2 )

x+1/2 = 0 // - 1/2

x = -1/2

( x-1/2 )

x-1/2 = 0 // + 1/2

x = 1/2

( x-1 )

x-1 = 0 // + 1

x = 1

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 1/2} 

x in { 1} 

x in { 0} 

x = -1/2

See similar equations:

| 2w^2=17.4 | | 161500=r-.75 | | -3/2w=18 | | 2w^2=7 | | -5u+2=9(u-6) | | 5299.84=p(1+0.04) | | 1904=p(1+0.06*2) | | 5(-3)-4(-3)+(-3)= | | 5(x-5)+2x=7(x+2)-39 | | 135.14=1748.22*x*1 | | 3/5*1/5+2 | | 131.23=1155.22*x*1 | | 1/4=-3/8+10x | | 12=612 | | y=3/5(2)+5 | | 140.17=1952.37*x*1 | | 525=5000*0.14*x | | 26=-8u+3(u-8) | | 18d^2+4d=10 | | (x^2+x-6)/(3x^2+9x-30) | | 4v+3v=49 | | 0.025x+5y+3z=100 | | 300x^2-1550x-1500=0 | | x^1/2+x^-1/2-2 | | 120x-0.02x^2=0 | | -x^2+4x+6=0 | | 6.6x+9.12=35.76 | | (9c/7c-21)+(6c/21c-64) | | 1/4x^2+3x=0 | | 8y-4=6y+12 | | 0.4x+11.1=x-3.54 | | 4(3x-2.4)=3x-9.6 |

Equations solver categories