6s^2-19s+5=0

Simple and best practice solution for 6s^2-19s+5=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 6s^2-19s+5=0 equation:


Simplifying
6s2 + -19s + 5 = 0

Reorder the terms:
5 + -19s + 6s2 = 0

Solving
5 + -19s + 6s2 = 0

Solving for variable 's'.

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

Divide each side by '6'.
0.8333333333 + -3.166666667s + s2 = 0

Move the constant term to the right:

Add '-0.8333333333' to each side of the equation.
0.8333333333 + -3.166666667s + -0.8333333333 + s2 = 0 + -0.8333333333

Reorder the terms:
0.8333333333 + -0.8333333333 + -3.166666667s + s2 = 0 + -0.8333333333

Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000
0.0000000000 + -3.166666667s + s2 = 0 + -0.8333333333
-3.166666667s + s2 = 0 + -0.8333333333

Combine like terms: 0 + -0.8333333333 = -0.8333333333
-3.166666667s + s2 = -0.8333333333

The s term is -3.166666667s.  Take half its coefficient (-1.583333334).
Square it (2.506944447) and add it to both sides.

Add '2.506944447' to each side of the equation.
-3.166666667s + 2.506944447 + s2 = -0.8333333333 + 2.506944447

Reorder the terms:
2.506944447 + -3.166666667s + s2 = -0.8333333333 + 2.506944447

Combine like terms: -0.8333333333 + 2.506944447 = 1.6736111137
2.506944447 + -3.166666667s + s2 = 1.6736111137

Factor a perfect square on the left side:
(s + -1.583333334)(s + -1.583333334) = 1.6736111137

Calculate the square root of the right side: 1.293681226

Break this problem into two subproblems by setting 
(s + -1.583333334) equal to 1.293681226 and -1.293681226.

Subproblem 1

s + -1.583333334 = 1.293681226 Simplifying s + -1.583333334 = 1.293681226 Reorder the terms: -1.583333334 + s = 1.293681226 Solving -1.583333334 + s = 1.293681226 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '1.583333334' to each side of the equation. -1.583333334 + 1.583333334 + s = 1.293681226 + 1.583333334 Combine like terms: -1.583333334 + 1.583333334 = 0.000000000 0.000000000 + s = 1.293681226 + 1.583333334 s = 1.293681226 + 1.583333334 Combine like terms: 1.293681226 + 1.583333334 = 2.87701456 s = 2.87701456 Simplifying s = 2.87701456

Subproblem 2

s + -1.583333334 = -1.293681226 Simplifying s + -1.583333334 = -1.293681226 Reorder the terms: -1.583333334 + s = -1.293681226 Solving -1.583333334 + s = -1.293681226 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '1.583333334' to each side of the equation. -1.583333334 + 1.583333334 + s = -1.293681226 + 1.583333334 Combine like terms: -1.583333334 + 1.583333334 = 0.000000000 0.000000000 + s = -1.293681226 + 1.583333334 s = -1.293681226 + 1.583333334 Combine like terms: -1.293681226 + 1.583333334 = 0.289652108 s = 0.289652108 Simplifying s = 0.289652108

Solution

The solution to the problem is based on the solutions from the subproblems. s = {2.87701456, 0.289652108}

See similar equations:

| C=8.5x+6yforx | | x^2+12x+49= | | 6(x-2)(x-2)= | | 0=5x^2+12x-9 | | 24m+16= | | s=19.86+22.03 | | 2(x+14)(x+4)= | | 2(x+4)(x+4)= | | -x=95 | | b/6+3=17 | | 2(x+8)(x+8)= | | 5-5lnx=3 | | 5(x-3)(x-3)= | | 9a+5a+2a-6= | | 4.33x+3.44(1/5x)=75.27 | | 4x^3+7X^2-8=0 | | 3ln(6x)=-6 | | 75x+50x= | | 17x-8x-11=70 | | -36-(-29)=x/12 | | 2-4(y-9)=6+8y | | -5x+2y=18 | | 40x^3-72x^2+35x-63=0 | | 324/12 | | -17+18=m-8 | | x-2.5=15.7 | | 50x-25x= | | 2/3n+3/2n=13/9 | | 8a-6a= | | 8j-8j= | | x=30*10^2/2 | | (4y-2)(9+y)=0 |

Equations solver categories