2x-x^2+11=0

Simple and best practice solution for 2x-x^2+11=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 2x-x^2+11=0 equation:


Simplifying
2x + -1x2 + 11 = 0

Reorder the terms:
11 + 2x + -1x2 = 0

Solving
11 + 2x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-11 + -2x + x2 = 0

Move the constant term to the right:

Add '11' to each side of the equation.
-11 + -2x + 11 + x2 = 0 + 11

Reorder the terms:
-11 + 11 + -2x + x2 = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -2x + x2 = 0 + 11
-2x + x2 = 0 + 11

Combine like terms: 0 + 11 = 11
-2x + x2 = 11

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 = 11 + 1

Reorder the terms:
1 + -2x + x2 = 11 + 1

Combine like terms: 11 + 1 = 12
1 + -2x + x2 = 12

Factor a perfect square on the left side:
(x + -1)(x + -1) = 12

Calculate the square root of the right side: 3.464101615

Break this problem into two subproblems by setting 
(x + -1) equal to 3.464101615 and -3.464101615.

Subproblem 1

x + -1 = 3.464101615 Simplifying x + -1 = 3.464101615 Reorder the terms: -1 + x = 3.464101615 Solving -1 + x = 3.464101615 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 = 3.464101615 + 1 Combine like terms: -1 + 1 = 0 0 + x = 3.464101615 + 1 x = 3.464101615 + 1 Combine like terms: 3.464101615 + 1 = 4.464101615 x = 4.464101615 Simplifying x = 4.464101615

Subproblem 2

x + -1 = -3.464101615 Simplifying x + -1 = -3.464101615 Reorder the terms: -1 + x = -3.464101615 Solving -1 + x = -3.464101615 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 = -3.464101615 + 1 Combine like terms: -1 + 1 = 0 0 + x = -3.464101615 + 1 x = -3.464101615 + 1 Combine like terms: -3.464101615 + 1 = -2.464101615 x = -2.464101615 Simplifying x = -2.464101615

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.464101615, -2.464101615}

See similar equations:

| 10*(-x+4)+7=5 | | 7e^2x+8=29 | | 10*x+4+7=5 | | 2x/7+3/14=x/7-1/14 | | 0=10x^2-3x | | 3e*x+7=9 | | 14x^2=3x | | 3e*3x=12 | | 2x-9x+8x+9x=0 | | 3(x-2)+2=2(x-6) | | 2(q+3)=-2 | | -3(m-7)=-6 | | 3*4x=27 | | b/15=3 | | 6y-2=4y+10 | | 2/r+13/7r | | 2(c-12)=6 | | a^2+7a-9=9 | | 7-2a=43 | | 2(f-14)=-8 | | 5x/8-3/10=7x/40 | | e*x=4 | | 4(n-12)=16 | | 12-10a=-28 | | 12=3(w-15) | | 4-5a=16 | | -6=-(w-2) | | 6y+8=48 | | C(t)=2t+1 | | 7=-16t^2+40+c | | -3(k-7)+10=4 | | 2=2(c-4)-2 |

Equations solver categories