x^2-19x-100=0

Simple and best practice solution for x^2-19x-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^2-19x-100=0 equation:


Simplifying
x2 + -19x + -100 = 0

Reorder the terms:
-100 + -19x + x2 = 0

Solving
-100 + -19x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '100' to each side of the equation.
-100 + -19x + 100 + x2 = 0 + 100

Reorder the terms:
-100 + 100 + -19x + x2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + -19x + x2 = 0 + 100
-19x + x2 = 0 + 100

Combine like terms: 0 + 100 = 100
-19x + x2 = 100

The x term is -19x.  Take half its coefficient (-9.5).
Square it (90.25) and add it to both sides.

Add '90.25' to each side of the equation.
-19x + 90.25 + x2 = 100 + 90.25

Reorder the terms:
90.25 + -19x + x2 = 100 + 90.25

Combine like terms: 100 + 90.25 = 190.25
90.25 + -19x + x2 = 190.25

Factor a perfect square on the left side:
(x + -9.5)(x + -9.5) = 190.25

Calculate the square root of the right side: 13.793114224

Break this problem into two subproblems by setting 
(x + -9.5) equal to 13.793114224 and -13.793114224.

Subproblem 1

x + -9.5 = 13.793114224 Simplifying x + -9.5 = 13.793114224 Reorder the terms: -9.5 + x = 13.793114224 Solving -9.5 + x = 13.793114224 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.5' to each side of the equation. -9.5 + 9.5 + x = 13.793114224 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + x = 13.793114224 + 9.5 x = 13.793114224 + 9.5 Combine like terms: 13.793114224 + 9.5 = 23.293114224 x = 23.293114224 Simplifying x = 23.293114224

Subproblem 2

x + -9.5 = -13.793114224 Simplifying x + -9.5 = -13.793114224 Reorder the terms: -9.5 + x = -13.793114224 Solving -9.5 + x = -13.793114224 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.5' to each side of the equation. -9.5 + 9.5 + x = -13.793114224 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + x = -13.793114224 + 9.5 x = -13.793114224 + 9.5 Combine like terms: -13.793114224 + 9.5 = -4.293114224 x = -4.293114224 Simplifying x = -4.293114224

Solution

The solution to the problem is based on the solutions from the subproblems. x = {23.293114224, -4.293114224}

See similar equations:

| 30-3x=2x | | 19a+14b+2c+6c-3b-2a= | | y-1/3x-4 | | 112-7x=11+16 | | 61-4x=14x+23 | | X/40=-35+2 | | 4a^2+2a=3a^2+8 | | 12-8x=9x+20 | | 160-7x=38x+15 | | X^2-9x=-x | | 9x=30-3x | | -4(t-2)+6t=4t-6 | | 5x^2-45/x^2-16 | | 0.2a=4a | | 6-7x=30-21x | | 2x(x-5)=2x+1(x-4) | | n-3.5n+6.8=-1.9n+3.8 | | 56-4x=8x | | 6x+1+4x-6=45 | | 5(6-x)-3(-6-7x)= | | 195/338 | | 13.50+x+3+y=20-x+y | | 12x+15=6x+147 | | r^2-4r-45=0 | | 5z(z+2)=5(z+1) | | 8p+3=12+7p | | 3x-4*x+5=12 | | 4y-17=-4(-y+5) | | 6x+25=15x-65 | | 5wx-5v=7x+7v | | 6m-7+3m+3+5-8m= | | 279-3x=42+19 |

Equations solver categories