x^2+0.25x-1.25=0

Simple and best practice solution for x^2+0.25x-1.25=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+0.25x-1.25=0 equation: 


Simplifying
x2 + 0.25x + -1.25 = 0

Reorder the terms:
-1.25 + 0.25x + x2 = 0

Solving
-1.25 + 0.25x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '1.25' to each side of the equation.
-1.25 + 0.25x + 1.25 + x2 = 0 + 1.25

Reorder the terms:
-1.25 + 1.25 + 0.25x + x2 = 0 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + 0.25x + x2 = 0 + 1.25
0.25x + x2 = 0 + 1.25

Combine like terms: 0 + 1.25 = 1.25
0.25x + x2 = 1.25

The x term is 0.25x.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25x + 0.015625 + x2 = 1.25 + 0.015625

Reorder the terms:
0.015625 + 0.25x + x2 = 1.25 + 0.015625

Combine like terms: 1.25 + 0.015625 = 1.265625
0.015625 + 0.25x + x2 = 1.265625

Factor a perfect square on the left side:
(x + 0.125)(x + 0.125) = 1.265625

Calculate the square root of the right side: 1.125

Break this problem into two subproblems by setting 
(x + 0.125) equal to 1.125 and -1.125.


Subproblem 1
x + 0.125 = 1.125

Simplifying
x + 0.125 = 1.125

Reorder the terms:
0.125 + x = 1.125

Solving
0.125 + x = 1.125

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.125' to each side of the equation.
0.125 + -0.125 + x = 1.125 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + x = 1.125 + -0.125
x = 1.125 + -0.125

Combine like terms: 1.125 + -0.125 = 1
x = 1

Simplifying
x = 1


Subproblem 2
x + 0.125 = -1.125

Simplifying
x + 0.125 = -1.125

Reorder the terms:
0.125 + x = -1.125

Solving
0.125 + x = -1.125

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.125' to each side of the equation.
0.125 + -0.125 + x = -1.125 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + x = -1.125 + -0.125
x = -1.125 + -0.125

Combine like terms: -1.125 + -0.125 = -1.25
x = -1.25

Simplifying
x = -1.25


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1, -1.25}

See similar equations:

| 82-4x=7x+17 | | 3(3x+2)=9x+6 | | 5x^8y^6+20x^6y^5+15xy= | | 4y-9=3(y-1) | | 3(4x+2)=7x+4 | | 9y-9=19.9 | | (12a+14)-(3a-9)= | | 8x+7=8x-2 | | X-8y=33 | | -18p^3+3p^2+36p=0 | | x=8(1-0.34)(50/100)+16(50/100) | | 3(2x+1)=6x-2 | | x=5.28(0.5)+16(0.5) | | 75x^2-60+12=0 | | 4x-1=2x+4 | | 2/(x-4)(x-2)=1/x-4+2/x-2 | | (-3)(e+4)= | | 5(x-4)=3x-4 | | 3(1.5)+y=4 | | 9.96=2.37+0.60x | | 6x+150=8x+190 | | -2y/5=4 | | (4x-5)(2x-1)= | | 3x^6y^4+27x^4y^3+24xy= | | 1y/3=4 | | -7.5r=31/3 | | 41/6=-31/3 | | 8x^6y^4+72x^4y^3+64xy= | | -a/1.6=-31/3 | | 2X+5Y+9=0 | | 7(x+4)=6x+24 | | 3-5x=-37 |

Equations solver categories