2x^2-10x=1

Simple and best practice solution for 2x^2-10x=1 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 2x^2-10x=1 equation:


Simplifying
2x2 + -10x = 1

Reorder the terms:
-10x + 2x2 = 1

Solving
-10x + 2x2 = 1

Solving for variable 'x'.

Reorder the terms:
-1 + -10x + 2x2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -10x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
-0.5 + -5x + x2 = 0

Move the constant term to the right:

Add '0.5' to each side of the equation.
-0.5 + -5x + 0.5 + x2 = 0 + 0.5

Reorder the terms:
-0.5 + 0.5 + -5x + x2 = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + -5x + x2 = 0 + 0.5
-5x + x2 = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
-5x + x2 = 0.5

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = 0.5 + 6.25

Reorder the terms:
6.25 + -5x + x2 = 0.5 + 6.25

Combine like terms: 0.5 + 6.25 = 6.75
6.25 + -5x + x2 = 6.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 6.75

Calculate the square root of the right side: 2.598076211

Break this problem into two subproblems by setting 
(x + -2.5) equal to 2.598076211 and -2.598076211.

Subproblem 1

x + -2.5 = 2.598076211 Simplifying x + -2.5 = 2.598076211 Reorder the terms: -2.5 + x = 2.598076211 Solving -2.5 + x = 2.598076211 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = 2.598076211 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = 2.598076211 + 2.5 x = 2.598076211 + 2.5 Combine like terms: 2.598076211 + 2.5 = 5.098076211 x = 5.098076211 Simplifying x = 5.098076211

Subproblem 2

x + -2.5 = -2.598076211 Simplifying x + -2.5 = -2.598076211 Reorder the terms: -2.5 + x = -2.598076211 Solving -2.5 + x = -2.598076211 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = -2.598076211 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = -2.598076211 + 2.5 x = -2.598076211 + 2.5 Combine like terms: -2.598076211 + 2.5 = -0.098076211 x = -0.098076211 Simplifying x = -0.098076211

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.098076211, -0.098076211}

See similar equations:

| 25x+25=18x-9 | | -2*x^2+156*x-2720=0 | | (-3/7)x=(12/35) | | 3a+2b-9= | | (-7/4)r=(-63/16) | | 4x-24=6x-9 | | (x-1)(x^2+6x+9)=5x+15 | | 9x-3=10x+6 | | x^2-76*x+1360=0 | | a=4b+1 | | (0,000596-0,002x)/(0,0087-x) | | p=240c | | 0.5x=100 | | 2x-7=x-6 | | (1-x)x+(1-x)y+3-k=0 | | x+x+1+x+2=702 | | 9n=548 | | (0.06x)+(0.07y)=6.94 | | 0.015*2x^2= | | 51y^2/-17y/9 | | x+y=1-0 | | 5.5x+48y=101 | | 3x^2+3y^2-xy-1=0 | | 14-5x=5-2x | | 6s-35=115 | | 2(3)x=6 | | sin(x+180)=-sinx | | X+0.08=17600 | | sin(x+180)= | | -4q+7=3q-63 | | 51-[14x+(3x-2)]=12x-[(14x+3)-6] | | x-[(3x+5)-(2x-6)]=4-[7x-(6+3x)] |

Equations solver categories