-x^2+x+100=0

Simple and best practice solution for -x^2+x+100=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+x+100=0 equation:


Simplifying
-1x2 + x + 100 = 0

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

Solving
100 + x + -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'.
-100 + -1x + x2 = 0

Move the constant term to the right:

Add '100' to each side of the equation.
-100 + -1x + 100 + x2 = 0 + 100

Reorder the terms:
-100 + 100 + -1x + x2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + -1x + x2 = 0 + 100
-1x + x2 = 0 + 100

Combine like terms: 0 + 100 = 100
-1x + x2 = 100

The x term is x.  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.
-1x + 0.25 + x2 = 100 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 100 + 0.25

Combine like terms: 100 + 0.25 = 100.25
0.25 + -1x + x2 = 100.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 100.25

Calculate the square root of the right side: 10.012492197

Break this problem into two subproblems by setting 
(x + 0.5) equal to 10.012492197 and -10.012492197.

Subproblem 1

x + 0.5 = 10.012492197 Simplifying x + 0.5 = 10.012492197 Reorder the terms: 0.5 + x = 10.012492197 Solving 0.5 + x = 10.012492197 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 = 10.012492197 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 10.012492197 + -0.5 x = 10.012492197 + -0.5 Combine like terms: 10.012492197 + -0.5 = 9.512492197 x = 9.512492197 Simplifying x = 9.512492197

Subproblem 2

x + 0.5 = -10.012492197 Simplifying x + 0.5 = -10.012492197 Reorder the terms: 0.5 + x = -10.012492197 Solving 0.5 + x = -10.012492197 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 = -10.012492197 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -10.012492197 + -0.5 x = -10.012492197 + -0.5 Combine like terms: -10.012492197 + -0.5 = -10.512492197 x = -10.512492197 Simplifying x = -10.512492197

Solution

The solution to the problem is based on the solutions from the subproblems. x = {9.512492197, -10.512492197}

See similar equations:

| 4x^2-4x-60=0 | | 5z-11z=18 | | 2.5m-4.1=2.9 | | 17x-70=2x+5 | | 2.5-4.1=2.9 | | 4x+y-2x+y= | | 3x+4y=89 | | z^2-6-z=0 | | (x^2-1)(x^2+2x-19)=0 | | (2x+5y)(x-y)= | | (x^2-1)x(x^2+2x-19)=0 | | 143-(7x+5)=7(x+9)+x | | 5x^2+13xy-6xy^2=0 | | 2x+3y+4x-5y= | | ln(3x+2)=ln(14-x) | | (2x+3y)(2x+5y)= | | 4x^3+4x=36 | | 4x^3+4x=48 | | 9*9-2*-3=0 | | 4x^3+4x=141 | | 2m+4n+6m+7n= | | 4x^3+4x=120 | | a=5+b | | [5(2-8)-5]-[7-(3-9)]= | | 9+15+x=30 | | x+x+15=30 | | 2n^2-4n-4=0 | | y-b=c | | 2*2x-3y=15 | | 6u+4v-6(3u-3v)= | | 6/8-4/6 | | 630-204X+12X^2=0 |

Equations solver categories