a^2-4a+5=0

Simple and best practice solution for a^2-4a+5=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 a^2-4a+5=0 equation:


Simplifying
a2 + -4a + 5 = 0

Reorder the terms:
5 + -4a + a2 = 0

Solving
5 + -4a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -4a + -5 + a2 = 0 + -5

Reorder the terms:
5 + -5 + -4a + a2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4a + a2 = 0 + -5
-4a + a2 = 0 + -5

Combine like terms: 0 + -5 = -5
-4a + a2 = -5

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

Add '4' to each side of the equation.
-4a + 4 + a2 = -5 + 4

Reorder the terms:
4 + -4a + a2 = -5 + 4

Combine like terms: -5 + 4 = -1
4 + -4a + a2 = -1

Factor a perfect square on the left side:
(a + -2)(a + -2) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| |10x-6|=|3x+17| | | y^2+5y-5= | | 5(y+4)=7(x-2) | | 10y-7+5y= | | -6b=54 | | 5t-22=-31+2t | | 4y-25=-27+2y | | D^2-14d+49= | | -7b+4a-6a-9b= | | 14(.3n+.31)=5.18-(.4-4.22n) | | 2t^2=27t | | -(y+2)-(13-y)= | | 81x^3=0 | | 4k+4=k^2 | | 5(2+4)=7(2-2) | | -4x+7=-9 | | 3(3+3*15)-4=29 | | 6-3(2x-9)= | | 3(3+3y)-4=29 | | 48-x^2=12 | | 4g+7-6+5g=64 | | -15=-3(n+7) | | -2(x+7)= | | 36x^3+27x^2-18x-9= | | 10x+3=4(2x+1)-x+7 | | 9x-3(2x+2)=15 | | 2x+7=x-1 | | 3x+1=5x-19 | | 81x^4-1= | | 10v+13=1+8v-14 | | (2x-1)-(3x+5)=-10 | | 5x-8x=8-2 |

Equations solver categories