x^2-4*x+2=0

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


Simplifying
x2 + -4x + 2 = 0

Reorder the terms:
2 + -4x + x2 = 0

Solving
2 + -4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -4x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -4x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -4x + x2 = 0 + -2
-4x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-4x + x2 = -2

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -2 + 4

Reorder the terms:
4 + -4x + x2 = -2 + 4

Combine like terms: -2 + 4 = 2
4 + -4x + x2 = 2

Factor a perfect square on the left side:
(x + -2)(x + -2) = 2

Calculate the square root of the right side: 1.414213562

Break this problem into two subproblems by setting 
(x + -2) equal to 1.414213562 and -1.414213562.

Subproblem 1

x + -2 = 1.414213562 Simplifying x + -2 = 1.414213562 Reorder the terms: -2 + x = 1.414213562 Solving -2 + x = 1.414213562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 1.414213562 + 2 Combine like terms: -2 + 2 = 0 0 + x = 1.414213562 + 2 x = 1.414213562 + 2 Combine like terms: 1.414213562 + 2 = 3.414213562 x = 3.414213562 Simplifying x = 3.414213562

Subproblem 2

x + -2 = -1.414213562 Simplifying x + -2 = -1.414213562 Reorder the terms: -2 + x = -1.414213562 Solving -2 + x = -1.414213562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = -1.414213562 + 2 Combine like terms: -2 + 2 = 0 0 + x = -1.414213562 + 2 x = -1.414213562 + 2 Combine like terms: -1.414213562 + 2 = 0.585786438 x = 0.585786438 Simplifying x = 0.585786438

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.414213562, 0.585786438}

See similar equations:

| -0.75z+0.0z=0.05 | | 5x^2-16x+7=-2 | | 2*x^2+15*x-8=0 | | X+7=.50(4x-2) | | P-9=-17 | | (2.4)(-4.62)=2.1 | | 2.4-4.62=2.1 | | 8x4/x2 | | v^2+11v+11=0 | | -2xsquared+x=0 | | 3x+4=5x-2x+8 | | 8(y-5)=6y+-18 | | x+3xy-2y=5 | | 2w+1=80 | | 5=ln(2x) | | -7a+9=49+3a | | -0.333333x+(-0.666667x)=x | | -15-4z=11+4z | | 4.6x-0.4y+y-7.2x= | | V-8=1 | | -10n=80 | | 7x8-1x4/2x5 | | (a/7a^3)/(a^2/21)= | | (a/7a^3)/(a^2/21) | | k/6-2.5=3.2 | | (2x+4y)(3x+5y)= | | 12b^2+10b-4=-3b | | 3m-2=18 | | -2(4x-3)=32 | | (2x+4y)(5x+3y)= | | x/-2=2 | | -19=-21-x |

Equations solver categories