(5x^3-17x-12)/(x-4)

Simple and best practice solution for (5x^3-17x-12)/(x-4) 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 (5x^3-17x-12)/(x-4) equation: 


D( x )

x-4 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:4) U (4:+oo)

(5*x^3-(17*x)-12)/(x-4) = 0

(5*x^3-17*x-12)/(x-4) = 0

5*x^3-17*x-12 = 0

5*x^3-17*x-12 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 12, -12 }

1

x = 1

5*x^3-17*x-12 = -24

1

-1

x = -1

5*x^3-17*x-12 = 0

-1

x+1

5*x^2-5*x-12

5*x^3-17*x-12

x+1

-5*x^3-5*x^2

-5*x^2-17*x-12

5*x^2+5*x

-12*x-12

12*x+12

0

5*x^2-5*x-12 = 0

DELTA = (-5)^2-(-12*4*5)

DELTA = 265

DELTA > 0

x = (265^(1/2)+5)/(2*5) or x = (5-265^(1/2))/(2*5)

x = (265^(1/2)+5)/10 or x = (5-265^(1/2))/10

x in { (5-265^(1/2))/10, (265^(1/2)+5)/10, -1} 

(x-((5-265^(1/2))/10))*(x-((265^(1/2)+5)/10))*(x+1) = 0

((x-((5-265^(1/2))/10))*(x-((265^(1/2)+5)/10))*(x+1))/(x-4) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-((265^(1/2)+5)/10) )

x-((265^(1/2)+5)/10) = 0 // + (265^(1/2)+5)/10

x = (265^(1/2)+5)/10

( x-((5-265^(1/2))/10) )

x-((5-265^(1/2))/10) = 0 // + (5-265^(1/2))/10

x = (5-265^(1/2))/10

x in { -1, (265^(1/2)+5)/10, (5-265^(1/2))/10 }

See similar equations:

| 2x^2-90=80 | | (x^4)-1=0 | | y=4x^2-40x+7 | | 2x^2+0.1x=0.04 | | 23x-48y=1 | | 13(2w+4)=2w+4 | | 5x+(2+x)= | | 3(x+1)=13+x | | 5/4p=20 | | 5x(2+x)= | | 2x+1=2x+7 | | 4(m-7)=9(m+8) | | 14=-7/3a | | 16x^4-64x^2=0 | | 3x+(7x+10)= | | 8*(x*4)= | | 5y-24=2y+30 | | -4/3(-2)= | | 0.6x-1.3=4.1 | | 2a+8ab-64b^2=0 | | 1.7=0.4m-0.7 | | (12y+2x)+4y= | | (x+13y)+8y= | | -2(-2)-3(-2)+7= | | 3x+2+11x= | | 434=31y | | (5x)-2/x9 | | (6x+21)+14= | | 4(4)+10(4)-20= | | 3(-4/3b+1/3c)+4b=c | | 15y+(x+9y)= | | 24x^2-4x-4=0 |

Equations solver categories