x^2+1x-9=0

Simple and best practice solution for x^2+1x-9=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+1x-9=0 equation: 


Simplifying
x2 + 1x + -9 = 0

Reorder the terms:
-9 + 1x + x2 = 0

Solving
-9 + 1x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '9' to each side of the equation.
-9 + 1x + 9 + x2 = 0 + 9

Reorder the terms:
-9 + 9 + 1x + x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 1x + x2 = 0 + 9
1x + x2 = 0 + 9

Combine like terms: 0 + 9 = 9
1x + x2 = 9

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.
x + 0.25 + x2 = 9 + 0.25

Reorder the terms:
0.25 + x + x2 = 9 + 0.25

Combine like terms: 9 + 0.25 = 9.25
0.25 + x + x2 = 9.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 9.25

Calculate the square root of the right side: 3.041381265

Break this problem into two subproblems by setting 
(x + 0.5) equal to 3.041381265 and -3.041381265.


Subproblem 1
x + 0.5 = 3.041381265

Simplifying
x + 0.5 = 3.041381265

Reorder the terms:
0.5 + x = 3.041381265

Solving
0.5 + x = 3.041381265

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 = 3.041381265 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 3.041381265 + -0.5
x = 3.041381265 + -0.5

Combine like terms: 3.041381265 + -0.5 = 2.541381265
x = 2.541381265

Simplifying
x = 2.541381265


Subproblem 2
x + 0.5 = -3.041381265

Simplifying
x + 0.5 = -3.041381265

Reorder the terms:
0.5 + x = -3.041381265

Solving
0.5 + x = -3.041381265

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 = -3.041381265 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -3.041381265 + -0.5
x = -3.041381265 + -0.5

Combine like terms: -3.041381265 + -0.5 = -3.541381265
x = -3.541381265

Simplifying
x = -3.541381265


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.541381265, -3.541381265}

See similar equations:

| 4.3x+2.1x-2.3=7.6 | | r^3-11r^2-121r+1331= | | 96x^4+144x^2+51=0 | | x-0.2= | | (9+5i)+(11+2i)= | | 2x+40=6x+60 | | -3(y-2x)=5 | | 11+2z=14.75 | | 21x+24=20x+27 | | 2/3+w=1+1/2 | | 5(2s-1)=s+94 | | 5.952=0.992(-3.1+a) | | .2(10d+30)=13 | | F(x)=1x+-6 | | 80b+4680=58680 | | 3x-6=-3+4x | | 27(-0.7)= | | 2a-5=5 | | 4n^2-8n+7=0 | | 4y=5x+25 | | 11-8p=5 | | 3-4n+2n=5-52 | | -9.39-3.4d=(-1.1d)+11.08 | | -140=-7x | | 24b-(-9b)= | | 9u^2-10u+1=0 | | r^3-10r^2-100r+1000= | | 7b+18=4+7(b+2) | | -6(x-3)=10 | | 21x+14=18x-10 | | 30=2y-2 | | 4x-3y=9-3y |

Equations solver categories