p^2-4p+5=0

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


Simplifying
p2 + -4p + 5 = 0

Reorder the terms:
5 + -4p + p2 = 0

Solving
5 + -4p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -4p + -5 + p2 = 0 + -5

Reorder the terms:
5 + -5 + -4p + p2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4p + p2 = 0 + -5
-4p + p2 = 0 + -5

Combine like terms: 0 + -5 = -5
-4p + p2 = -5

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

Add '4' to each side of the equation.
-4p + 4 + p2 = -5 + 4

Reorder the terms:
4 + -4p + p2 = -5 + 4

Combine like terms: -5 + 4 = -1
4 + -4p + p2 = -1

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 4p^2-7p+3=0 | | 0.25x+20=21.25 | | 14a+2(a-5)= | | 2t-6=3-t | | -8=5-(7-2) | | -3(5y-7)+2(2y+5)= | | 40x+4(1.5x)=368 | | -3(4y-9)+2(3y+8)= | | -15(x)+3y=-9 | | -3(4y-9)+(3y+8)= | | -15x+3y=-9 | | -4-(4-2p)= | | 8=-3x-7 | | -6-(6-2p)= | | -5-(6-3p)= | | 4x=2(x+1) | | .5(12n-8)=26 | | (3/8)(1/10)= | | 3/81/10= | | 3/8+1/10= | | d+2(3+d)=-14-4 | | 2z+5=5z-7 | | 6x+8x^3= | | 4x-2.4= | | .375-2x+5x=1.125+6x | | 12s=14 | | 2*ln(4*x)=3+ln(8*x) | | -16t^2+144t+160= | | .65x+.05(12-x)=.10(42) | | 6x+4+4+9=9x+3 | | 81+x^2=144 | | x-0.85x=111 |

Equations solver categories