x^2-x-20=4

Simple and best practice solution for x^2-x-20=4 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-20=4 equation:


Simplifying
x2 + -1x + -20 = 4

Reorder the terms:
-20 + -1x + x2 = 4

Solving
-20 + -1x + x2 = 4

Solving for variable 'x'.

Reorder the terms:
-20 + -4 + -1x + x2 = 4 + -4

Combine like terms: -20 + -4 = -24
-24 + -1x + x2 = 4 + -4

Combine like terms: 4 + -4 = 0
-24 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '24' to each side of the equation.
-24 + -1x + 24 + x2 = 0 + 24

Reorder the terms:
-24 + 24 + -1x + x2 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1x + x2 = 0 + 24
-1x + x2 = 0 + 24

Combine like terms: 0 + 24 = 24
-1x + x2 = 24

The x term is -1x.  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 = 24 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 24 + 0.25

Combine like terms: 24 + 0.25 = 24.25
0.25 + -1x + x2 = 24.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 24.25

Calculate the square root of the right side: 4.924428901

Break this problem into two subproblems by setting 
(x + -0.5) equal to 4.924428901 and -4.924428901.

Subproblem 1

x + -0.5 = 4.924428901 Simplifying x + -0.5 = 4.924428901 Reorder the terms: -0.5 + x = 4.924428901 Solving -0.5 + x = 4.924428901 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 = 4.924428901 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 4.924428901 + 0.5 x = 4.924428901 + 0.5 Combine like terms: 4.924428901 + 0.5 = 5.424428901 x = 5.424428901 Simplifying x = 5.424428901

Subproblem 2

x + -0.5 = -4.924428901 Simplifying x + -0.5 = -4.924428901 Reorder the terms: -0.5 + x = -4.924428901 Solving -0.5 + x = -4.924428901 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 = -4.924428901 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -4.924428901 + 0.5 x = -4.924428901 + 0.5 Combine like terms: -4.924428901 + 0.5 = -4.424428901 x = -4.424428901 Simplifying x = -4.424428901

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.424428901, -4.424428901}

See similar equations:

| x^2-x-20=2 | | 6x^2=17x+14 | | 3(x-2)=3x(x-2) | | 16/7=8v | | 400+80x=100x | | y/y-1=x | | 657473/x=0.333333333333334 | | x+20=4(x-100) | | x-3/3-x-2/2=-1 | | x^2+0.011x=0.028 | | x^2+0.011x=0.28 | | x^2-0.011x=0.28 | | 4.9t^2-225t+620=0 | | 2x/3-x/2=x+1/6 | | (602)410-9= | | (602)374-9= | | [289]= | | (289)= | | 09011966= | | 09/01/1966= | | != | | 15!= | | 15!3/2= | | (2x^2)+15x-28=0 | | 2x^2+2x-140=0 | | xy+7x+7y+49= | | (8x-2)/4 | | (7x^2)+11x+43=0 | | 8x-2/4 | | (5x^2)+13x-1=0 | | 8w+4=10+4w | | 3-2x=21 |

Equations solver categories