m^2-5m+16=0

Simple and best practice solution for m^2-5m+16=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 m^2-5m+16=0 equation:


Simplifying
m2 + -5m + 16 = 0

Reorder the terms:
16 + -5m + m2 = 0

Solving
16 + -5m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -5m + -16 + m2 = 0 + -16

Reorder the terms:
16 + -16 + -5m + m2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -5m + m2 = 0 + -16
-5m + m2 = 0 + -16

Combine like terms: 0 + -16 = -16
-5m + m2 = -16

The m term is -5m.  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.
-5m + 6.25 + m2 = -16 + 6.25

Reorder the terms:
6.25 + -5m + m2 = -16 + 6.25

Combine like terms: -16 + 6.25 = -9.75
6.25 + -5m + m2 = -9.75

Factor a perfect square on the left side:
(m + -2.5)(m + -2.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 4(c+6)=3c+2 | | 8x+32x-9=8(5x+8) | | 36-6x=3x+19 | | 4x+16-41=64 | | 6(x*2)= | | (-b+4)(7b+1)= | | -0.3(x-7)+x=0.5(3-x) | | 28000+3000y=36000+2000y | | 3.8n-13=1.4+5 | | 112x-42=14(8x-3) | | 8-8x=34-15x | | 5k+7+2k=5k-9+k | | X^2+26x-16=0 | | k^9+16=4 | | 3v+5+2v=5(2+v) | | 34x+6=9x+12 | | (2a+b)(a-2b)= | | x/3-8=-2 | | 6x+22x-6=7(4x+7) | | 30=2(w+3)+2w | | x^2+7=11 | | -12=6+x | | 5x-42=3x+42 | | p-1=6 | | 6x+8=6x-2 | | 80-5x= | | -3.5X=x+9 | | 3x+6(2-3)=4-7x | | 6q-(q-3)=2q+3(q+1) | | -5c+4=-2 | | 1-6n+1=(-22) | | -2(x+14)=2(x-1) |

Equations solver categories