x^4+-15x^2+56=0

Simple and best practice solution for x^4+-15x^2+56=0 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+-15x^2+56=0 equation: 


Simplifying
x4 + -15x2 + 56 = 0

Reorder the terms:
56 + -15x2 + x4 = 0

Solving
56 + -15x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -1x2)(8 + -1x2) = 0


Subproblem 1
Set the factor '(7 + -1x2)' equal to zero and attempt to solve:

Simplifying
7 + -1x2 = 0

Solving
7 + -1x2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x2 = 0 + -7
-1x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1x2 = -7

Divide each side by '-1'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}

Subproblem 2
Set the factor '(8 + -1x2)' equal to zero and attempt to solve:

Simplifying
8 + -1x2 = 0

Solving
8 + -1x2 = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x2 = 0 + -8
-1x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-1x2 = -8

Divide each side by '-1'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}
Solution
x = {-2.645751311, 2.645751311, -2.828427125, 2.828427125}

See similar equations:

| 2x-3=4x-2 | | 2j+5=6h | | 6a-4a=-36 | | (7x)-(2x)= | | 81=-3(-6+3n) | | 5x+6=10x-94 | | -6y=15-3x | | x=9x+16 | | P(x)=8x-1600 | | r-10=-15 | | 8m+9=3m-16 | | 4(x+5)+3=31 | | 3x^2-45x-12=0 | | k-6=-6 | | 3h-5h+11= | | ab-ac-4d=d-f | | 8a^2+30a-27=0 | | 2y+3y+12=27 | | y+y-40=180 | | 20+2x=-3(4x-2) | | 15(2x-1)=5(x+2)+2x | | 8(x+4)=7x | | 10(1-2y)=-5 | | 7x=180-2x | | -3(3s-1)-3=-3(5s+6)-5 | | 5(c+7)=-42 | | 34+13+6a=100 | | 3(x+4)-6=-12 | | (x+20)+(x+10)+y+(y-40)=180 | | 2z+9.76-7z=-5.15 | | 12A+2+A-1= | | -2(t-1)+4t=6t-3 |

Equations solver categories