Y^4-k^4=0

Simple and best practice solution for Y^4-k^4=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 Y^4-k^4=0 equation:


Simplifying
Y4 + -1k4 = 0

Solving
Y4 + -1k4 = 0

Solving for variable 'Y'.

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

Add 'k4' to each side of the equation.
Y4 + -1k4 + k4 = 0 + k4

Combine like terms: -1k4 + k4 = 0
Y4 + 0 = 0 + k4
Y4 = 0 + k4
Remove the zero:
Y4 = k4

Simplifying
Y4 = k4

Combine like terms: k4 + -1k4 = 0
Y4 + -1k4 = 0

Factor a difference between two squares.
(Y2 + k2)(Y2 + -1k2) = 0

Factor a difference between two squares.
(Y2 + k2)((Y + k)(Y + -1k)) = 0

Subproblem 1

Set the factor '(Y2 + k2)' equal to zero and attempt to solve: Simplifying Y2 + k2 = 0 Solving Y2 + k2 = 0 Move all terms containing Y to the left, all other terms to the right. Add '-1k2' to each side of the equation. Y2 + k2 + -1k2 = 0 + -1k2 Combine like terms: k2 + -1k2 = 0 Y2 + 0 = 0 + -1k2 Y2 = 0 + -1k2 Remove the zero: Y2 = -1k2 Simplifying Y2 = -1k2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(Y + k)' equal to zero and attempt to solve: Simplifying Y + k = 0 Solving Y + k = 0 Move all terms containing Y to the left, all other terms to the right. Add '-1k' to each side of the equation. Y + k + -1k = 0 + -1k Combine like terms: k + -1k = 0 Y + 0 = 0 + -1k Y = 0 + -1k Remove the zero: Y = -1k Simplifying Y = -1k

Subproblem 3

Set the factor '(Y + -1k)' equal to zero and attempt to solve: Simplifying Y + -1k = 0 Solving Y + -1k = 0 Move all terms containing Y to the left, all other terms to the right. Add 'k' to each side of the equation. Y + -1k + k = 0 + k Combine like terms: -1k + k = 0 Y + 0 = 0 + k Y = 0 + k Remove the zero: Y = k Simplifying Y = k

Solution

Y = {-1k, k}

See similar equations:

| 7x-4x-2x=20 | | 2(X-3)+6=15 | | 24=.445d+14.7 | | 6x-7=5(x+2) | | (-3s)+14s+(-10)+4s-(-12)=(-17) | | 7h-11h=16 | | 7+4(5x+6y)-5=-6x-5y+9-9y-x | | 3.27=95.2/x | | 0.35x+2=0.25x+5 | | n-n+2n-2n+n=11 | | 4x+5(-x+12)=48 | | (3.14)(5)= | | X+56=199-23(6) | | 1+1+1+10+2x=4 | | 6(n+-18)+3n=0 | | 16m-14m-m=14 | | 3z-z+2z-2z+2z=20 | | 15n+10+6n-9= | | 23+18x=14x | | 14v-9v-14v-10v=14 | | 3(2n+4)-7(n-6)= | | (6d^5)+1296d^2=0 | | -6=2t | | 3(2n+4)-7(n-6)=13n+54 | | 9u+(-7u)=-12 | | 32+40=4+x | | 9n+10+15n+10+6n-9= | | 6(n-18)+3x=0 | | C+-230=575 | | 8.9f+1=63.3 | | 6u+-8u+16u=-14 | | 2y+3y+4y+3y-11y=19 |

Equations solver categories