x^2-x-2.72=0

Simple and best practice solution for x^2-x-2.72=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-x-2.72=0 equation: 


Simplifying
x2 + -1x + -2.72 = 0

Reorder the terms:
-2.72 + -1x + x2 = 0

Solving
-2.72 + -1x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '2.72' to each side of the equation.
-2.72 + -1x + 2.72 + x2 = 0 + 2.72

Reorder the terms:
-2.72 + 2.72 + -1x + x2 = 0 + 2.72

Combine like terms: -2.72 + 2.72 = 0.00
0.00 + -1x + x2 = 0 + 2.72
-1x + x2 = 0 + 2.72

Combine like terms: 0 + 2.72 = 2.72
-1x + x2 = 2.72

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = 2.72 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 2.72 + 0.25

Combine like terms: 2.72 + 0.25 = 2.97
0.25 + -1x + x2 = 2.97

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 2.97

Calculate the square root of the right side: 1.723368794

Break this problem into two subproblems by setting 
(x + -0.5) equal to 1.723368794 and -1.723368794.


Subproblem 1
x + -0.5 = 1.723368794

Simplifying
x + -0.5 = 1.723368794

Reorder the terms:
-0.5 + x = 1.723368794

Solving
-0.5 + x = 1.723368794

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = 1.723368794 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = 1.723368794 + 0.5
x = 1.723368794 + 0.5

Combine like terms: 1.723368794 + 0.5 = 2.223368794
x = 2.223368794

Simplifying
x = 2.223368794


Subproblem 2
x + -0.5 = -1.723368794

Simplifying
x + -0.5 = -1.723368794

Reorder the terms:
-0.5 + x = -1.723368794

Solving
-0.5 + x = -1.723368794

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = -1.723368794 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = -1.723368794 + 0.5
x = -1.723368794 + 0.5

Combine like terms: -1.723368794 + 0.5 = -1.223368794
x = -1.223368794

Simplifying
x = -1.223368794


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.223368794, -1.223368794}

See similar equations:

| 6v+3+4v=-27 | | x/4=65 | | 4/x=65 | | 9(x+2)=6x | | 84=6u | | 24=3x+9 | | 3y^2+44y=871 | | 3y=6(8)+b | | -6+4b=1+3b | | 15=22+t/3 | | 216=28-w | | (9x)=27 | | (n+7)2= | | (n+7)(n+7)= | | 6(8x-4)-2(x-3)= | | (9x+10)=127 | | [x-10]=3 | | y=3(2)+9 | | tan(x)-2x=0 | | 7x+4x=-14+4x | | (9x+10)=137 | | 3v-4=-16 | | -6(1-5v)=64 | | 8h+10h=3h+25 | | d/3=d+1/6 | | 1a(-5)+4b=-4 | | 5(4m+1)-2m=-13 | | .5+8=57 | | 4w+15=67 | | 7-4=2(4)+11 | | 1/7(y+7)=5y | | 7=5+a/4 |

Equations solver categories