1x^2-1x-5=0

Simple and best practice solution for 1x^2-1x-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 1x^2-1x-5=0 equation:


Simplifying
1x2 + -1x + -5 = 0

Reorder the terms:
-5 + -1x + 1x2 = 0

Solving
-5 + -1x + 1x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + -1x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + -1x + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x + x2 = 0 + 5
-1x + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
-1x + x2 = 5

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 = 5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 5 + 0.25

Combine like terms: 5 + 0.25 = 5.25
0.25 + -1x + x2 = 5.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 5.25

Calculate the square root of the right side: 2.291287847

Break this problem into two subproblems by setting 
(x + -0.5) equal to 2.291287847 and -2.291287847.

Subproblem 1

x + -0.5 = 2.291287847 Simplifying x + -0.5 = 2.291287847 Reorder the terms: -0.5 + x = 2.291287847 Solving -0.5 + x = 2.291287847 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 = 2.291287847 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 2.291287847 + 0.5 x = 2.291287847 + 0.5 Combine like terms: 2.291287847 + 0.5 = 2.791287847 x = 2.791287847 Simplifying x = 2.791287847

Subproblem 2

x + -0.5 = -2.291287847 Simplifying x + -0.5 = -2.291287847 Reorder the terms: -0.5 + x = -2.291287847 Solving -0.5 + x = -2.291287847 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 = -2.291287847 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -2.291287847 + 0.5 x = -2.291287847 + 0.5 Combine like terms: -2.291287847 + 0.5 = -1.791287847 x = -1.791287847 Simplifying x = -1.791287847

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.791287847, -1.791287847}

See similar equations:

| 2l+2w=58 | | x/3+2=x/10+9 | | 3a/4+7/6=-a+7/24 | | -3(3n+2)=-42 | | (t+8)(t+2)=-5 | | px^2+4x+2=0 | | -7y=2x+6 | | 52=6x+2(-2x+14) | | 5x^2-36x-81=0 | | 980+(-5.761)=x | | n-5+2n=-5 | | -8-x=x+4 | | 7x=48 | | 4w+w=40 | | 2-(9k-28)=6-15k | | 18x^2-23x-6=0 | | 2(4n+2)=6n+12 | | -92=5x+4(-4x+19) | | -6x(-2.5x)=x | | 9*c=-99 | | -0.5x+1=7x-14 | | 8[y-1]-9[y-2]=12 | | 7z+8-2z=23 | | 2/3-3x=1/3+2x | | x=2x+100+3x+3x-500 | | -2x+5(6x+5)=-115 | | -13+h=10 | | 6-r*6*6+r=-42 | | 3(z-2)+6=(z+4) | | 4y+2=-0.3(8-12y) | | .25(8y+4)-17=-0.5(4y-8) | | -143=7x+4(-4x-11) |

Equations solver categories