x^2-1.73x-1=0

Simple and best practice solution for x^2-1.73x-1=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^2-1.73x-1=0 equation:


Simplifying
x2 + -1.73x + -1 = 0

Reorder the terms:
-1 + -1.73x + x2 = 0

Solving
-1 + -1.73x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + -1.73x + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + -1.73x + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1.73x + x2 = 0 + 1
-1.73x + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-1.73x + x2 = 1

The x term is -1.73x.  Take half its coefficient (-0.865).
Square it (0.748225) and add it to both sides.

Add '0.748225' to each side of the equation.
-1.73x + 0.748225 + x2 = 1 + 0.748225

Reorder the terms:
0.748225 + -1.73x + x2 = 1 + 0.748225

Combine like terms: 1 + 0.748225 = 1.748225
0.748225 + -1.73x + x2 = 1.748225

Factor a perfect square on the left side:
(x + -0.865)(x + -0.865) = 1.748225

Calculate the square root of the right side: 1.322204598

Break this problem into two subproblems by setting 
(x + -0.865) equal to 1.322204598 and -1.322204598.

Subproblem 1

x + -0.865 = 1.322204598 Simplifying x + -0.865 = 1.322204598 Reorder the terms: -0.865 + x = 1.322204598 Solving -0.865 + x = 1.322204598 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.865' to each side of the equation. -0.865 + 0.865 + x = 1.322204598 + 0.865 Combine like terms: -0.865 + 0.865 = 0.000 0.000 + x = 1.322204598 + 0.865 x = 1.322204598 + 0.865 Combine like terms: 1.322204598 + 0.865 = 2.187204598 x = 2.187204598 Simplifying x = 2.187204598

Subproblem 2

x + -0.865 = -1.322204598 Simplifying x + -0.865 = -1.322204598 Reorder the terms: -0.865 + x = -1.322204598 Solving -0.865 + x = -1.322204598 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.865' to each side of the equation. -0.865 + 0.865 + x = -1.322204598 + 0.865 Combine like terms: -0.865 + 0.865 = 0.000 0.000 + x = -1.322204598 + 0.865 x = -1.322204598 + 0.865 Combine like terms: -1.322204598 + 0.865 = -0.457204598 x = -0.457204598 Simplifying x = -0.457204598

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.187204598, -0.457204598}

See similar equations:

| x=573(7x-3) | | 56*4838=2a | | x-9=x | | 3ax+2a=0 | | 18-(5m+6)=5+3m-17 | | cos^2(2x)=0.9 | | cos^2(2x)=0.8 | | 4+(4-x)*3=10 | | 2(4+x)=5(10+x) | | X^2+22x+5=0 | | 32x=14x | | 4u-2=4(2-u)-2 | | -h^2+12*h-20=0 | | 5x+11=20x+64 | | 5n-5+2n+3=6+2n+2 | | 3x+4x^2-12=41 | | x+02=3 | | 5x+2x-4=0 | | 21y-(2y-3)=7(9-5y)-6(8-4y) | | 3(x+7)=2(2x+11) | | 16p+15q+p-4q-5p= | | 9p-3p+7q-9q= | | 6+6x=-24 | | 2x+16=137 | | x+10=4y | | -46=6x+8 | | 5y+3=2y+21 | | 4sin(2x)-3cos(2x)=4 | | 0=4x-2x^2 | | 5h+3=b-7 | | 3cos(2x)+4sin(2x)=4 | | 8x+3y+7z-4x+3z-4Y= |

Equations solver categories