x^2-100000000x+1=0

Simple and best practice solution for x^2-100000000x+1=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^2-100000000x+1=0 equation:


Simplifying
x2 + -100000000x + 1 = 0

Reorder the terms:
1 + -100000000x + x2 = 0

Solving
1 + -100000000x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -100000000x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -100000000x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -100000000x + x2 = 0 + -1
-100000000x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-100000000x + x2 = -1

The x term is -100000000x.  Take half its coefficient (-50000000).
Square it (2500000000000000) and add it to both sides.

Add '2500000000000000' to each side of the equation.
-100000000x + 2500000000000000 + x2 = -1 + 2500000000000000

Reorder the terms:
2500000000000000 + -100000000x + x2 = -1 + 2500000000000000

Combine like terms: -1 + 2500000000000000 = 2499999999999999
2500000000000000 + -100000000x + x2 = 2499999999999999

Factor a perfect square on the left side:
(x + -50000000)(x + -50000000) = 2499999999999999

Calculate the square root of the right side: 49999999.99999999

Break this problem into two subproblems by setting 
(x + -50000000) equal to 49999999.99999999 and -49999999.99999999.

Subproblem 1

x + -50000000 = 49999999.99999999 Simplifying x + -50000000 = 49999999.99999999 Reorder the terms: -50000000 + x = 49999999.99999999 Solving -50000000 + x = 49999999.99999999 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50000000' to each side of the equation. -50000000 + 50000000 + x = 49999999.99999999 + 50000000 Combine like terms: -50000000 + 50000000 = 0 0 + x = 49999999.99999999 + 50000000 x = 49999999.99999999 + 50000000 Combine like terms: 49999999.99999999 + 50000000 = 99999999.99999999 x = 99999999.99999999 Simplifying x = 99999999.99999999

Subproblem 2

x + -50000000 = -49999999.99999999 Simplifying x + -50000000 = -49999999.99999999 Reorder the terms: -50000000 + x = -49999999.99999999 Solving -50000000 + x = -49999999.99999999 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50000000' to each side of the equation. -50000000 + 50000000 + x = -49999999.99999999 + 50000000 Combine like terms: -50000000 + 50000000 = 0 0 + x = -49999999.99999999 + 50000000 x = -49999999.99999999 + 50000000 Combine like terms: -49999999.99999999 + 50000000 = 0.00000001 x = 0.00000001 Simplifying x = 0.00000001

Solution

The solution to the problem is based on the solutions from the subproblems. x = {99999999.99999999, 0.00000001}

See similar equations:

| -4m-13=9 | | 2(y-9)-y=-3 | | X+3=2x+10 | | .6x=1200 | | 8x-5=3x+21 | | 2(x+5)-x=12 | | a^2+10a+1=0 | | 0.1x+x=524.04 | | 0.1x+x=100 | | 12x-5+x(56)+7=13 | | 0.1x=x+-100 | | x^2-y^2=1000001 | | V=u+2as | | (8c-1)(6c-7)= | | y=144x-48x^2+4x^3 | | .6*2h-4=2.4+1.2h | | 2(x(x)-3)-5(x(x)+2)= | | 2x^2=165 | | x^2-4x-285=0 | | 8.25x+3y=39 | | 7x-22=85 | | (x-9)(x+9)-y^2= | | 1=x^2-12x+36 | | nx+s=tx-m | | (x-6)(x-4)=2 | | n+(n+1)=20+2n | | 4x-3(x+4)=3x-6(3x-4) | | -5x+60-2(x-2)=7x-(2x-8)-3x+2 | | 2x^3+7x^2-7x-12=0 | | 2(5x-3)-(2x-4)=5(6x+1) | | -20x-6(2-4x)=2(x-6)-16 | | 9x-6(3x-2)-17=-24+91 |

Equations solver categories