x^4-127000*x^2-20500000000=0

Simple and best practice solution for x^4-127000*x^2-20500000000=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^4-127000*x^2-20500000000=0 equation:


Simplifying
x4 + -127000x2 + -20500000000 = 0

Reorder the terms:
-20500000000 + -127000x2 + x4 = 0

Solving
-20500000000 + -127000x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '20500000000' to each side of the equation.
-20500000000 + -127000x2 + 20500000000 + x4 = 0 + 20500000000

Reorder the terms:
-20500000000 + 20500000000 + -127000x2 + x4 = 0 + 20500000000

Combine like terms: -20500000000 + 20500000000 = 0
0 + -127000x2 + x4 = 0 + 20500000000
-127000x2 + x4 = 0 + 20500000000

Combine like terms: 0 + 20500000000 = 20500000000
-127000x2 + x4 = 20500000000

The x term is -127000x2.  Take half its coefficient (-63500).
Square it (4032250000) and add it to both sides.

Add '4032250000' to each side of the equation.
-127000x2 + 4032250000 + x4 = 20500000000 + 4032250000

Reorder the terms:
4032250000 + -127000x2 + x4 = 20500000000 + 4032250000

Combine like terms: 20500000000 + 4032250000 = 24532250000
4032250000 + -127000x2 + x4 = 24532250000

Factor a perfect square on the left side:
(x2 + -63500)(x2 + -63500) = 24532250000

Calculate the square root of the right side: 156627.743391776

Break this problem into two subproblems by setting 
(x2 + -63500) equal to 156627.743391776 and -156627.743391776.

Subproblem 1

x2 + -63500 = 156627.743391776 Simplifying x2 + -63500 = 156627.743391776 Reorder the terms: -63500 + x2 = 156627.743391776 Solving -63500 + x2 = 156627.743391776 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63500' to each side of the equation. -63500 + 63500 + x2 = 156627.743391776 + 63500 Combine like terms: -63500 + 63500 = 0 0 + x2 = 156627.743391776 + 63500 x2 = 156627.743391776 + 63500 Combine like terms: 156627.743391776 + 63500 = 220127.743391776 x2 = 220127.743391776 Simplifying x2 = 220127.743391776 Take the square root of each side: x = {-469.177731134, 469.177731134}

Subproblem 2

x2 + -63500 = -156627.743391776 Simplifying x2 + -63500 = -156627.743391776 Reorder the terms: -63500 + x2 = -156627.743391776 Solving -63500 + x2 = -156627.743391776 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63500' to each side of the equation. -63500 + 63500 + x2 = -156627.743391776 + 63500 Combine like terms: -63500 + 63500 = 0 0 + x2 = -156627.743391776 + 63500 x2 = -156627.743391776 + 63500 Combine like terms: -156627.743391776 + 63500 = -93127.743391776 x2 = -93127.743391776 Simplifying x2 = -93127.743391776 Reorder the terms: 93127.743391776 + x2 = -93127.743391776 + 93127.743391776 Combine like terms: -93127.743391776 + 93127.743391776 = 0.000000000 93127.743391776 + x2 = 0.000000000 The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 4a+7=10+1 | | -6=-2x-21 | | 5n=n+12 | | .5x+.15(50)=38.5 | | x+5+6x=68 | | 2x-10=3x+20 | | 4t-8=2t-2 | | p-3p-n-2n+5n+p+2p-n= | | x^4-127000*x^2-20570000000=0 | | x+8y=5 | | 2(2q+3.5)-3q=9 | | 5v^2-21=32v | | 2x+2(10)=10+4(x-10) | | 7t-2+3t-1=7+9t | | -7x-14=4x+19 | | 12(10-7)+9g=g(4+5)+36 | | Y^3-5y^2-2y=-24 | | 4g+5=-25 | | 5x-15+2x=41 | | 4x-1=6(x+2) | | 219-2x=43x+24 | | 6(x+5)=2(3x+3)+24 | | 5x+3=2(4x-3) | | 5z-15+2x=41 | | 6x=8x+14 | | 15+1=13+ | | 2.5k=5 | | (2.4+4n)+9= | | 20-7=18- | | 2l+2(10)=10+4(l-10) | | x+2x-5+x+2x-5=38 | | x^4-127000*x^2-205700000000=0 |

Equations solver categories