2x^2-10x+169=0

Simple and best practice solution for 2x^2-10x+169=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 2x^2-10x+169=0 equation:


Simplifying
2x2 + -10x + 169 = 0

Reorder the terms:
169 + -10x + 2x2 = 0

Solving
169 + -10x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
84.5 + -5x + x2 = 0

Move the constant term to the right:

Add '-84.5' to each side of the equation.
84.5 + -5x + -84.5 + x2 = 0 + -84.5

Reorder the terms:
84.5 + -84.5 + -5x + x2 = 0 + -84.5

Combine like terms: 84.5 + -84.5 = 0.0
0.0 + -5x + x2 = 0 + -84.5
-5x + x2 = 0 + -84.5

Combine like terms: 0 + -84.5 = -84.5
-5x + x2 = -84.5

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 = -84.5 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -84.5 + 6.25

Combine like terms: -84.5 + 6.25 = -78.25
6.25 + -5x + x2 = -78.25

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -78.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 2.5/20=6/x | | 2e-12=7e+eght | | 32p-7= | | 5b+12c=9a | | -(4+n)-8=3(n-4) | | 1/2b-12=13 | | 11x-8=37+2x | | 4x+7+x=12 | | 119/17=140/x | | 4x+7x=12 | | 18y-21=2y-19 | | -64-(4x-14)=x | | 4(7n-3)=4(n+3) | | 5x=55-6x | | 100=x/4 | | 21=x/3-10 | | -5(2x+6)+8x=22 | | 8x+20=110-2x | | 9=x/9=7 | | b^2+4=36 | | 35=10logA | | -x^2-6x= | | 35=10log(A) | | 4v+9=81 | | -12x+7y=80 | | 4x-100=9x-100 | | -3(2x-4)=4(3/2x-3 | | -4-6x=11-3x | | 3(7+x)-5=28 | | 3(k-4)=-2(k+6) | | 12c+7+2b+10c+5= | | 6*(x-4)=-42 |

Equations solver categories