X^2-2X-105=0

Simple and best practice solution for X^2-2X-105=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^2-2X-105=0 equation: 


Simplifying
X2 + -2X + -105 = 0

Reorder the terms:
-105 + -2X + X2 = 0

Solving
-105 + -2X + X2 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '105' to each side of the equation.
-105 + -2X + 105 + X2 = 0 + 105

Reorder the terms:
-105 + 105 + -2X + X2 = 0 + 105

Combine like terms: -105 + 105 = 0
0 + -2X + X2 = 0 + 105
-2X + X2 = 0 + 105

Combine like terms: 0 + 105 = 105
-2X + X2 = 105

The X term is -2X.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2X + 1 + X2 = 105 + 1

Reorder the terms:
1 + -2X + X2 = 105 + 1

Combine like terms: 105 + 1 = 106
1 + -2X + X2 = 106

Factor a perfect square on the left side:
(X + -1)(X + -1) = 106

Calculate the square root of the right side: 10.295630141

Break this problem into two subproblems by setting 
(X + -1) equal to 10.295630141 and -10.295630141.


Subproblem 1
X + -1 = 10.295630141

Simplifying
X + -1 = 10.295630141

Reorder the terms:
-1 + X = 10.295630141

Solving
-1 + X = 10.295630141

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + 1 + X = 10.295630141 + 1

Combine like terms: -1 + 1 = 0
0 + X = 10.295630141 + 1
X = 10.295630141 + 1

Combine like terms: 10.295630141 + 1 = 11.295630141
X = 11.295630141

Simplifying
X = 11.295630141


Subproblem 2
X + -1 = -10.295630141

Simplifying
X + -1 = -10.295630141

Reorder the terms:
-1 + X = -10.295630141

Solving
-1 + X = -10.295630141

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + 1 + X = -10.295630141 + 1

Combine like terms: -1 + 1 = 0
0 + X = -10.295630141 + 1
X = -10.295630141 + 1

Combine like terms: -10.295630141 + 1 = -9.295630141
X = -9.295630141

Simplifying
X = -9.295630141


Solution
The solution to the problem is based on the solutions
from the subproblems.
X = {11.295630141, -9.295630141}

See similar equations:

| X^2-2X-133=0 | | x=y^2-4y+2 | | a^4+5a^3b-6a^2b^2= | | t=ef | | 4(2x)+x-5(x)=3 | | 1=2x+1-2x+1 | | -17+6I+9x=14-5i+13yi | | 12x-36-6x+12=1 | | 6p-5=25 | | y=15+40x+20x^2 | | y=20x^2+40x+15 | | 1/4(-6.1-5.5) | | 87+92=x | | (-20x)/((9-20x^2)^(1/2))=-2 | | 0+1+4+3+2=31 | | 10X+3x=-32 | | z=zy | | 1.3m+7.78=2.97 | | lnx+ln(x+5)=1 | | 2x^2+3xy-2y^2=7 | | (2x^3)(3x)= | | 0.3+0.3+0.7+0.7= | | 2w+2w^2=24m^2 | | 5r-8=3r | | 6(x+1.19)=5x | | 13t^2+130t-117=0 | | 119=3x+15 | | -10=5/9x | | -7x-8y=-21 | | 3x-6/4=3 | | p^4-7p^2-8=0 | | 101n+121n^2+22n-17n^2= |

Equations solver categories