x^2-200x+2500=0

Simple and best practice solution for x^2-200x+2500=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^2-200x+2500=0 equation:


Simplifying
x2 + -200x + 2500 = 0

Reorder the terms:
2500 + -200x + x2 = 0

Solving
2500 + -200x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-2500' to each side of the equation.
2500 + -200x + -2500 + x2 = 0 + -2500

Reorder the terms:
2500 + -2500 + -200x + x2 = 0 + -2500

Combine like terms: 2500 + -2500 = 0
0 + -200x + x2 = 0 + -2500
-200x + x2 = 0 + -2500

Combine like terms: 0 + -2500 = -2500
-200x + x2 = -2500

The x term is -200x.  Take half its coefficient (-100).
Square it (10000) and add it to both sides.

Add '10000' to each side of the equation.
-200x + 10000 + x2 = -2500 + 10000

Reorder the terms:
10000 + -200x + x2 = -2500 + 10000

Combine like terms: -2500 + 10000 = 7500
10000 + -200x + x2 = 7500

Factor a perfect square on the left side:
(x + -100)(x + -100) = 7500

Calculate the square root of the right side: 86.602540378

Break this problem into two subproblems by setting 
(x + -100) equal to 86.602540378 and -86.602540378.

Subproblem 1

x + -100 = 86.602540378 Simplifying x + -100 = 86.602540378 Reorder the terms: -100 + x = 86.602540378 Solving -100 + x = 86.602540378 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + x = 86.602540378 + 100 Combine like terms: -100 + 100 = 0 0 + x = 86.602540378 + 100 x = 86.602540378 + 100 Combine like terms: 86.602540378 + 100 = 186.602540378 x = 186.602540378 Simplifying x = 186.602540378

Subproblem 2

x + -100 = -86.602540378 Simplifying x + -100 = -86.602540378 Reorder the terms: -100 + x = -86.602540378 Solving -100 + x = -86.602540378 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + x = -86.602540378 + 100 Combine like terms: -100 + 100 = 0 0 + x = -86.602540378 + 100 x = -86.602540378 + 100 Combine like terms: -86.602540378 + 100 = 13.397459622 x = 13.397459622 Simplifying x = 13.397459622

Solution

The solution to the problem is based on the solutions from the subproblems. x = {186.602540378, 13.397459622}

See similar equations:

| 6x+24=x+44 | | -6=-3x+6x+6 | | 2(b-3)-8+3b=10 | | 16(a+3)=4(12+4a) | | 4a^2+9a+11=0 | | t+8=-25 | | 6-1/q=4 | | 3+2x=x^2 | | a^2-9a-y=0 | | 5x^2=1-4x | | 9+x=-5x+33 | | 2x+3x+50-15=-3x+112-3x | | 28x+7x=319 | | 3k/5+44=12K25+8 | | 5y+6y-841=7y+102+654 | | 2xm=22 | | A+3/2=-10 | | 3a^2+a=a+10a+11 | | 2(x-3)-8+3x=10 | | 6+16x=2x-12 | | -k/5-3=17 | | 16+x-5+x=11x-3-2x | | y^2-19y=4 | | 12/f-7=-5 | | 3(x-8)-7=-31 | | 9(m+2)=3(m-2) | | 8w=20.8 | | 8w=20.8 | | 4y=-2x+14 | | -12x+8-3x+10=2x-9+6x | | 3d^2-10-13d=0 | | 1x+5=14 |

Equations solver categories