0.9995=2x-x^2

Simple and best practice solution for 0.9995=2x-x^2 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 0.9995=2x-x^2 equation:


Simplifying
0.9995 = 2x + -1x2

Solving
0.9995 = 2x + -1x2

Solving for variable 'x'.

Reorder the terms:
0.9995 + -2x + x2 = 2x + -2x + -1x2 + x2

Combine like terms: 2x + -2x = 0
0.9995 + -2x + x2 = 0 + -1x2 + x2
0.9995 + -2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
0.9995 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-0.9995' to each side of the equation.
0.9995 + -2x + -0.9995 + x2 = 0 + -0.9995

Reorder the terms:
0.9995 + -0.9995 + -2x + x2 = 0 + -0.9995

Combine like terms: 0.9995 + -0.9995 = 0.0000
0.0000 + -2x + x2 = 0 + -0.9995
-2x + x2 = 0 + -0.9995

Combine like terms: 0 + -0.9995 = -0.9995
-2x + x2 = -0.9995

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 = -0.9995 + 1

Reorder the terms:
1 + -2x + x2 = -0.9995 + 1

Combine like terms: -0.9995 + 1 = 0.0005
1 + -2x + x2 = 0.0005

Factor a perfect square on the left side:
(x + -1)(x + -1) = 0.0005

Calculate the square root of the right side: 0.02236068

Break this problem into two subproblems by setting 
(x + -1) equal to 0.02236068 and -0.02236068.

Subproblem 1

x + -1 = 0.02236068 Simplifying x + -1 = 0.02236068 Reorder the terms: -1 + x = 0.02236068 Solving -1 + x = 0.02236068 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 = 0.02236068 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0.02236068 + 1 x = 0.02236068 + 1 Combine like terms: 0.02236068 + 1 = 1.02236068 x = 1.02236068 Simplifying x = 1.02236068

Subproblem 2

x + -1 = -0.02236068 Simplifying x + -1 = -0.02236068 Reorder the terms: -1 + x = -0.02236068 Solving -1 + x = -0.02236068 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 = -0.02236068 + 1 Combine like terms: -1 + 1 = 0 0 + x = -0.02236068 + 1 x = -0.02236068 + 1 Combine like terms: -0.02236068 + 1 = 0.97763932 x = 0.97763932 Simplifying x = 0.97763932

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.02236068, 0.97763932}

See similar equations:

| 3(0)-(-3)2= | | 7log^9(x+8)=7 | | -18=8x-2 | | 70+9x=110+4x | | 2x^2-12=16 | | -9*2= | | B=1/3g*n | | -9*0= | | log^19(x^2+17)=log^19(8x+2) | | d+243=-622 | | r^2+4r-5=8 | | (7/12x)+(3/2) | | -19j=-171 | | 2x-15=5-3x | | 15x+20=12x-4 | | m^2+10m+25=9 | | (x^2-8x+16)-x^4= | | f(x)=x^2-3x-8 | | 575.00+.21x=850.00 | | 25=a-10 | | log^2(a^2-6a)=log^2(10+3a) | | 3y-4x=2 | | n^2-8n-29=4 | | 3x-3=6x | | -(9-2x)+3x=2(x-18) | | 2x-6x+5x-3x-2y+3y= | | -4w=-20 | | -4a-10=30 | | -3(u+10)+13=-5 | | 3a-10=2a+15 | | 1x+2y=36 | | -8+log^9(m+1)=-8 |

Equations solver categories