-x^2+2x+7=0

Simple and best practice solution for -x^2+2x+7=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+7=0 equation:


Simplifying
-1x2 + 2x + 7 = 0

Reorder the terms:
7 + 2x + -1x2 = 0

Solving
7 + 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'.
-7 + -2x + x2 = 0

Move the constant term to the right:

Add '7' to each side of the equation.
-7 + -2x + 7 + x2 = 0 + 7

Reorder the terms:
-7 + 7 + -2x + x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x + x2 = 0 + 7
-2x + x2 = 0 + 7

Combine like terms: 0 + 7 = 7
-2x + x2 = 7

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 = 7 + 1

Reorder the terms:
1 + -2x + x2 = 7 + 1

Combine like terms: 7 + 1 = 8
1 + -2x + x2 = 8

Factor a perfect square on the left side:
(x + -1)(x + -1) = 8

Calculate the square root of the right side: 2.828427125

Break this problem into two subproblems by setting 
(x + -1) equal to 2.828427125 and -2.828427125.

Subproblem 1

x + -1 = 2.828427125 Simplifying x + -1 = 2.828427125 Reorder the terms: -1 + x = 2.828427125 Solving -1 + x = 2.828427125 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 = 2.828427125 + 1 Combine like terms: -1 + 1 = 0 0 + x = 2.828427125 + 1 x = 2.828427125 + 1 Combine like terms: 2.828427125 + 1 = 3.828427125 x = 3.828427125 Simplifying x = 3.828427125

Subproblem 2

x + -1 = -2.828427125 Simplifying x + -1 = -2.828427125 Reorder the terms: -1 + x = -2.828427125 Solving -1 + x = -2.828427125 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 = -2.828427125 + 1 Combine like terms: -1 + 1 = 0 0 + x = -2.828427125 + 1 x = -2.828427125 + 1 Combine like terms: -2.828427125 + 1 = -1.828427125 x = -1.828427125 Simplifying x = -1.828427125

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.828427125, -1.828427125}

See similar equations:

| 7x=33-11x | | 2x^6-9x^5+10x^4-3x^3+10x^2-9x+2=0 | | 14z^2+-3z-2=0 | | 1/2(2x+3x^2+7x^3) | | 14=-23+b | | 10-c=8 | | 148,000=0.70x+800 | | 148,000=0.70x-800 | | 3x^2+27=30 | | (-8x+1)-(8x-1)= | | 27x+7y=6 | | (-5.6+2)(-2)= | | (7x+4)(3x-y)= | | 6x-36=4x-28 | | 5=x-3x/4 | | 0.2x-0.2(6-x)=0.6 | | (5/12)X=40 | | (5/12)X=50 | | 1806= | | -96-58=-908 | | 1806.25= | | 2x(6x^2-3x+3)= | | (6/1)x=60 | | (6/1)x=12 | | 345^1/2 | | 2x[6x^2-3(x-1)]= | | 17-4x=7-8x | | 2.2+x=26.2 | | 80=-0.25x+250 | | 60+6x=600 | | 6x-5=15-41 | | (6x+2xy-5)-(-3x+7xy+5)= |

Equations solver categories