x^4+48=19x^2

Simple and best practice solution for x^4+48=19x^2 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^4+48=19x^2 equation: 


Simplifying
x4 + 48 = 19x2

Reorder the terms:
48 + x4 = 19x2

Solving
48 + x4 = 19x2

Solving for variable 'x'.

Reorder the terms:
48 + -19x2 + x4 = 19x2 + -19x2

Combine like terms: 19x2 + -19x2 = 0
48 + -19x2 + x4 = 0

Factor a trinomial.
(3 + -1x2)(16 + -1x2) = 0

Factor a difference between two squares.
(3 + -1x2)((4 + x)(4 + -1x)) = 0


Subproblem 1
Set the factor '(3 + -1x2)' equal to zero and attempt to solve:

Simplifying
3 + -1x2 = 0

Solving
3 + -1x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x2 = 0 + -3
-1x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1x2 = -3

Divide each side by '-1'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4

Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-1.732050808, 1.732050808, -4, 4}

See similar equations:

| 10x-4=2x+(-8) | | 3/2x+20 | | 48+4y-15=13y-9-2y | | -(12j-v)= | | x^3-4x^2-21x-216=0 | | 100=3x*5 | | r-3=(-7) | | 5x+(-8)=(-2x)+(-6) | | 51/4/32/3 | | -4x-4(17+2x)=16 | | 5b^3+34b^2-7b=0 | | 8+r=(-7) | | x+3(-6)=-16 | | x/16-5/8=(x+6)/8 | | 7/10x=84 | | 10(-16-3y)+6y=-16 | | 7+r=(-3) | | y=1/3*0.3333-2 | | 6w^4*x^2-8u^2*x/4x^3 | | (-2)+r=8 | | 2(p-1)=3p+2 | | y=1/3(-2)-2 | | y=1/3(2)-2 | | z^2-4z-8=0 | | 4x-4=2x-34 | | y=-2(-3)-8 | | -10x^2+9x+9= | | 7/12x=35 | | 3x+7=-2-8 | | 2r-6=8 | | 4x^2-25x+25= | | (x-9)2=49 |

Equations solver categories