u^2-4u+13=0

Simple and best practice solution for u^2-4u+13=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 u^2-4u+13=0 equation:


Simplifying
u2 + -4u + 13 = 0

Reorder the terms:
13 + -4u + u2 = 0

Solving
13 + -4u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -4u + -13 + u2 = 0 + -13

Reorder the terms:
13 + -13 + -4u + u2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -4u + u2 = 0 + -13
-4u + u2 = 0 + -13

Combine like terms: 0 + -13 = -13
-4u + u2 = -13

The u term is -4u.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4u + 4 + u2 = -13 + 4

Reorder the terms:
4 + -4u + u2 = -13 + 4

Combine like terms: -13 + 4 = -9
4 + -4u + u2 = -9

Factor a perfect square on the left side:
(u + -2)(u + -2) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 8t^2+t+1=0 | | (9c+4c)= | | 18x^2/6x | | 0=2y^2+13y+15 | | 9(2-9v)= | | 5q=-100/5 | | -1.5x^2=6 | | (9.5x)*(5x)=64000 | | -2/-7x-49 | | 2/7x-4=9 | | P/-12=4 | | 12(v+4)-3v=3(3v+4)-21 | | 7y(7y+8)= | | 2/3z=-16 | | 8x^2-6x+9y^2=9 | | -3X=-27/3 | | 1.5x^2=6 | | 2x+5=-8x-6 | | logx(4x-18)-logx(2)=1 | | 70=110-30x | | 10x+6y=20 | | 70=150-30x | | 40=150-30x | | 40=110-30x | | -9/112= | | (4*2)+5-3+4= | | 23.1=-4.2x | | x/-10=42 | | 100=16t^2 | | 3(1+x)=2[3(x+3)-(x+1)] | | x-2.5=4.8 | | 2x+3y=201 |

Equations solver categories