x^2-1.7x+0.7=0

Simple and best practice solution for x^2-1.7x+0.7=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^2-1.7x+0.7=0 equation: 


Simplifying
x2 + -1.7x + 0.7 = 0

Reorder the terms:
0.7 + -1.7x + x2 = 0

Solving
0.7 + -1.7x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-0.7' to each side of the equation.
0.7 + -1.7x + -0.7 + x2 = 0 + -0.7

Reorder the terms:
0.7 + -0.7 + -1.7x + x2 = 0 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + -1.7x + x2 = 0 + -0.7
-1.7x + x2 = 0 + -0.7

Combine like terms: 0 + -0.7 = -0.7
-1.7x + x2 = -0.7

The x term is -1.7x.  Take half its coefficient (-0.85).
Square it (0.7225) and add it to both sides.

Add '0.7225' to each side of the equation.
-1.7x + 0.7225 + x2 = -0.7 + 0.7225

Reorder the terms:
0.7225 + -1.7x + x2 = -0.7 + 0.7225

Combine like terms: -0.7 + 0.7225 = 0.0225
0.7225 + -1.7x + x2 = 0.0225

Factor a perfect square on the left side:
(x + -0.85)(x + -0.85) = 0.0225

Calculate the square root of the right side: 0.15

Break this problem into two subproblems by setting 
(x + -0.85) equal to 0.15 and -0.15.


Subproblem 1
x + -0.85 = 0.15

Simplifying
x + -0.85 = 0.15

Reorder the terms:
-0.85 + x = 0.15

Solving
-0.85 + x = 0.15

Solving for variable 'x'.

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

Add '0.85' to each side of the equation.
-0.85 + 0.85 + x = 0.15 + 0.85

Combine like terms: -0.85 + 0.85 = 0.00
0.00 + x = 0.15 + 0.85
x = 0.15 + 0.85

Combine like terms: 0.15 + 0.85 = 1
x = 1

Simplifying
x = 1


Subproblem 2
x + -0.85 = -0.15

Simplifying
x + -0.85 = -0.15

Reorder the terms:
-0.85 + x = -0.15

Solving
-0.85 + x = -0.15

Solving for variable 'x'.

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

Add '0.85' to each side of the equation.
-0.85 + 0.85 + x = -0.15 + 0.85

Combine like terms: -0.85 + 0.85 = 0.00
0.00 + x = -0.15 + 0.85
x = -0.15 + 0.85

Combine like terms: -0.15 + 0.85 = 0.7
x = 0.7

Simplifying
x = 0.7


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1, 0.7}

See similar equations:

| -5=x-18 | | 5x=5.4 | | -26=x+16 | | 3x+2x=-4-1 | | 475=(-16)t^2+175t | | -10=1+z | | a-8=-16 | | 3*2.7= | | 4(5x-1)-3(5x+2)=3x+1 | | 4x^2+96x-448=0 | | 3x+5y-3z+7w=82 | | 6+17x-4=8x+47-6x | | x+(x+.25x)=90 | | 4(x+5)-3(x-3)=34 | | -2x^2=24x-70 | | 6x+6+7x=59 | | 2b^2-b-7=14 | | 2x^4-10x^3=0 | | -15-13=9w-2w | | 6x+6+7x=-50 | | 4y+9y=78 | | -8y=x+64 | | x=2x-3x^2 | | t-35=-14 | | 8y=x-64 | | 3x+2x(7-5x)=12 | | X-8y=64 | | 8z=-5 | | 8(2x-1)-2(7x-5)=10 | | 2u-8u=8-14 | | 5x-7+3x=-9 | | P^2-11p+3=0 |

Equations solver categories