s^2+11s+11=0

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


Simplifying
s2 + 11s + 11 = 0

Reorder the terms:
11 + 11s + s2 = 0

Solving
11 + 11s + s2 = 0

Solving for variable 's'.

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 11s + -11 + s2 = 0 + -11

Reorder the terms:
11 + -11 + 11s + s2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 11s + s2 = 0 + -11
11s + s2 = 0 + -11

Combine like terms: 0 + -11 = -11
11s + s2 = -11

The s term is 11s.  Take half its coefficient (5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
11s + 30.25 + s2 = -11 + 30.25

Reorder the terms:
30.25 + 11s + s2 = -11 + 30.25

Combine like terms: -11 + 30.25 = 19.25
30.25 + 11s + s2 = 19.25

Factor a perfect square on the left side:
(s + 5.5)(s + 5.5) = 19.25

Calculate the square root of the right side: 4.387482194

Break this problem into two subproblems by setting 
(s + 5.5) equal to 4.387482194 and -4.387482194.

Subproblem 1

s + 5.5 = 4.387482194 Simplifying s + 5.5 = 4.387482194 Reorder the terms: 5.5 + s = 4.387482194 Solving 5.5 + s = 4.387482194 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + s = 4.387482194 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + s = 4.387482194 + -5.5 s = 4.387482194 + -5.5 Combine like terms: 4.387482194 + -5.5 = -1.112517806 s = -1.112517806 Simplifying s = -1.112517806

Subproblem 2

s + 5.5 = -4.387482194 Simplifying s + 5.5 = -4.387482194 Reorder the terms: 5.5 + s = -4.387482194 Solving 5.5 + s = -4.387482194 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + s = -4.387482194 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + s = -4.387482194 + -5.5 s = -4.387482194 + -5.5 Combine like terms: -4.387482194 + -5.5 = -9.887482194 s = -9.887482194 Simplifying s = -9.887482194

Solution

The solution to the problem is based on the solutions from the subproblems. s = {-1.112517806, -9.887482194}

See similar equations:

| 3p=45.6 | | 5x+189=13x-11 | | 8r+9=81 | | 7y=8x+18 | | 5a-3=3 | | -35=2b+25-(-7b) | | p^2+15p+15=0 | | 8[x+3]=12x-4 | | -4x^2+48x+20=0 | | 7x^2-16=0 | | 7x-15=6x+10 | | b*2=25 | | 20p^3+22p^2+6p=0 | | 22=3X | | 6x+x-10=39 | | -3(10b+10)=5(b+2) | | 3k=-24 | | 5p^2+14p+9=0 | | 48=4v | | 7x-9x+3=17 | | 5(6x-1)+4(3x+8)=2(3x-7)+11 | | 2in(x+4)=-2 | | 155.961=-20.45m | | x=30+30*0+1 | | 8x+2x-5=-25 | | 155.961=-20.45 | | 6n+5=4n+8 | | -35=5s | | H(t)=-16t^2+35t+s | | -3x+5+2=28 | | 10-6=-7 | | 12+6t=4(5+t) |

Equations solver categories