(X^3+2x^2+4x+8)/(x^2+4)

Simple and best practice solution for (X^3+2x^2+4x+8)/(x^2+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 (X^3+2x^2+4x+8)/(x^2+4) equation: 


D( x )

x^2+4 = 0

x^2+4 = 0

x^2+4 = 0

1*x^2 = -4 // : 1

x^2 = -4

x in (-oo:+oo)

(X^3+2*x^2+4*x+8)/(x^2+4) = 0

X^3+2*x^2+4*x+8 = 0

DELTA = 4^2-(2*4*(X^3+8))

DELTA = 16-8*(X^3+8)

16-8*(X^3+8) = 0

16-8*(X^3+8) = 0

-8*X^3-48 = 0

-8*X^3-48 = 0

-8*X^3 = 48 // : -8

X^3 = -6

X^3 = -6 // ^ 1/3

X = -6^(1/3)

DELTA = 0  <=>  t_2 = -6^(1/3)

x = -4/(2*2) i X = -6^(1/3)

x = -1 i X = -6^(1/3)

( x = ((16-8*(X^3+8))^(1/2)-4)/(2*2) or x = (-(16-8*(X^3+8))^(1/2)-4)/(2*2) ) i X > -6^(1/3)

( x = ((16-8*(X^3+8))^(1/2)-4)/4 or x = (-((16-8*(X^3+8))^(1/2)+4))/4 ) i X > -6^(1/3)

X+6^(1/3) > 0

X+6^(1/3) > 0 // - 6^(1/3)

X > -6^(1/3)

x in { -1, ((16-8*(X^3+8))^(1/2)-4)/4, (-((16-8*(X^3+8))^(1/2)+4))/4 }

See similar equations:

| 3.25-2.14x=3x-3.689 | | x*2+5x+3=9 | | 306=(x)(x+1) | | -3w=-2 | | 13x+2x=5 | | 1.5x+11.3=3.4x-2 | | 3/x+3=5/2x+6+1/2 | | (3a^2+2a-1)+(-2a^2-3a+6)= | | -7x-6/7=-63*6/7 | | 4q+1(1-q)=2q+10(1-q) | | 5=8+u | | 5x^2+10x-23=22-6x | | 296-28y+2y^2=0 | | 4(x+1)+2x=x-7 | | 2x-12+4x=x^2-4x+6 | | (1/4)(3x+4)=3 | | x^4+6x^2+13=0 | | 2(x-2)+40=-4x | | 2(2x+1)=22 | | 15x-8x=14 | | 15x-8x=15 | | -45-26= | | -6x^2+7x+2=0 | | 7(x+1)-2(2x+3)-10(1-3x)=30 | | X/120=43/258 | | 4x+290=14x-10 | | -8x^2+4x+9=0 | | 96x+126= | | 21-40= | | 4s-7=177 | | -29-46= | | 5x+3y+7z-2x+4z-7y= |

Equations solver categories