x^2-55x+425=0

Simple and best practice solution for x^2-55x+425=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^2-55x+425=0 equation:


Simplifying
x2 + -55x + 425 = 0

Reorder the terms:
425 + -55x + x2 = 0

Solving
425 + -55x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-425' to each side of the equation.
425 + -55x + -425 + x2 = 0 + -425

Reorder the terms:
425 + -425 + -55x + x2 = 0 + -425

Combine like terms: 425 + -425 = 0
0 + -55x + x2 = 0 + -425
-55x + x2 = 0 + -425

Combine like terms: 0 + -425 = -425
-55x + x2 = -425

The x term is -55x.  Take half its coefficient (-27.5).
Square it (756.25) and add it to both sides.

Add '756.25' to each side of the equation.
-55x + 756.25 + x2 = -425 + 756.25

Reorder the terms:
756.25 + -55x + x2 = -425 + 756.25

Combine like terms: -425 + 756.25 = 331.25
756.25 + -55x + x2 = 331.25

Factor a perfect square on the left side:
(x + -27.5)(x + -27.5) = 331.25

Calculate the square root of the right side: 18.200274723

Break this problem into two subproblems by setting 
(x + -27.5) equal to 18.200274723 and -18.200274723.

Subproblem 1

x + -27.5 = 18.200274723 Simplifying x + -27.5 = 18.200274723 Reorder the terms: -27.5 + x = 18.200274723 Solving -27.5 + x = 18.200274723 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27.5' to each side of the equation. -27.5 + 27.5 + x = 18.200274723 + 27.5 Combine like terms: -27.5 + 27.5 = 0.0 0.0 + x = 18.200274723 + 27.5 x = 18.200274723 + 27.5 Combine like terms: 18.200274723 + 27.5 = 45.700274723 x = 45.700274723 Simplifying x = 45.700274723

Subproblem 2

x + -27.5 = -18.200274723 Simplifying x + -27.5 = -18.200274723 Reorder the terms: -27.5 + x = -18.200274723 Solving -27.5 + x = -18.200274723 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27.5' to each side of the equation. -27.5 + 27.5 + x = -18.200274723 + 27.5 Combine like terms: -27.5 + 27.5 = 0.0 0.0 + x = -18.200274723 + 27.5 x = -18.200274723 + 27.5 Combine like terms: -18.200274723 + 27.5 = 9.299725277 x = 9.299725277 Simplifying x = 9.299725277

Solution

The solution to the problem is based on the solutions from the subproblems. x = {45.700274723, 9.299725277}

See similar equations:

| 2x-z= | | 6x^2+2= | | -4x+2(3+x)=-30 | | -5x+y=1 | | 2x-8x+3=-2x-5x | | 2y-10x=4 | | 6u+4=5u+2 | | 5(g-2)+g=(g-4) | | X=60Y^2 | | -4-6(1+7h)=28 | | 2x+20=4x-2 | | (x-5)/4=-(9/5) | | 2x+7+4x=43 | | x+14=x-26 | | (x-5)/4=-9/5 | | (4x+6)+113+5x=540 | | 3x^4-108x^2=0 | | 14a+5-8a=-27 | | -6x-5=19 | | 4x^2-4x=19 | | 25x^2-10x-2=0 | | x-5/4=-9/5 | | 1-x^2= | | -7x=-8x+x | | 2x+9=9x+10 | | 7(2n+4)+120=10(-(n+2)) | | 3u+8=4u-1 | | 7x-9=2x+6 | | 63=7(s+5) | | 7(2n+4)+120=10(-n+2) | | 22t^2-11t=0 | | 43-4r=3(1-9r) |

Equations solver categories