x^2-5.46x+3.8=0

Simple and best practice solution for x^2-5.46x+3.8=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^2-5.46x+3.8=0 equation: 


Simplifying
x2 + -5.46x + 3.8 = 0

Reorder the terms:
3.8 + -5.46x + x2 = 0

Solving
3.8 + -5.46x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-3.8' to each side of the equation.
3.8 + -5.46x + -3.8 + x2 = 0 + -3.8

Reorder the terms:
3.8 + -3.8 + -5.46x + x2 = 0 + -3.8

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + -5.46x + x2 = 0 + -3.8
-5.46x + x2 = 0 + -3.8

Combine like terms: 0 + -3.8 = -3.8
-5.46x + x2 = -3.8

The x term is -5.46x.  Take half its coefficient (-2.73).
Square it (7.4529) and add it to both sides.

Add '7.4529' to each side of the equation.
-5.46x + 7.4529 + x2 = -3.8 + 7.4529

Reorder the terms:
7.4529 + -5.46x + x2 = -3.8 + 7.4529

Combine like terms: -3.8 + 7.4529 = 3.6529
7.4529 + -5.46x + x2 = 3.6529

Factor a perfect square on the left side:
(x + -2.73)(x + -2.73) = 3.6529

Calculate the square root of the right side: 1.911256131

Break this problem into two subproblems by setting 
(x + -2.73) equal to 1.911256131 and -1.911256131.


Subproblem 1
x + -2.73 = 1.911256131

Simplifying
x + -2.73 = 1.911256131

Reorder the terms:
-2.73 + x = 1.911256131

Solving
-2.73 + x = 1.911256131

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2.73' to each side of the equation.
-2.73 + 2.73 + x = 1.911256131 + 2.73

Combine like terms: -2.73 + 2.73 = 0.00
0.00 + x = 1.911256131 + 2.73
x = 1.911256131 + 2.73

Combine like terms: 1.911256131 + 2.73 = 4.641256131
x = 4.641256131

Simplifying
x = 4.641256131


Subproblem 2
x + -2.73 = -1.911256131

Simplifying
x + -2.73 = -1.911256131

Reorder the terms:
-2.73 + x = -1.911256131

Solving
-2.73 + x = -1.911256131

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2.73' to each side of the equation.
-2.73 + 2.73 + x = -1.911256131 + 2.73

Combine like terms: -2.73 + 2.73 = 0.00
0.00 + x = -1.911256131 + 2.73
x = -1.911256131 + 2.73

Combine like terms: -1.911256131 + 2.73 = 0.818743869
x = 0.818743869

Simplifying
x = 0.818743869


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.641256131, 0.818743869}

See similar equations:

| (3/5)k+5=7 | | -7v-3v=0 | | 1282-2x=20 | | 5y-2/3=-5/2y-1/3 | | .625y+3.5y=.3333333333 | | 0.7=35x | | g/5+5/6 | | 10/(-5)-5 | | 6*7+7y=-42 | | -7(-2+6m)=-6m+5(1-7m) | | 9x+-4=49 | | 4/1.2 | | 18=6+5(z+4) | | 7x+2-3x=30 | | -1/5+5/6 | | 7+3x+-12x=3x+1 | | 18-12/(-6) | | 3x/5+8=14 | | -7m-8m=15 | | -3(3x+1)-5x-3=4x+30 | | -6+4x=6x-12 | | y/8+3=-14 | | -12x=-8x-2 | | W/-3=-2.8 | | 5t-1=(t-17)/3 | | 21t=23.50t | | 6x=5x+50 | | 0=-6p+6p | | -3(5-x)+8x=8-(3-6x) | | 6/5+5/6 | | 8/4=a | | 8x+10-7x=17 |

Equations solver categories