y^2-19y+121=0

Simple and best practice solution for y^2-19y+121=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 y^2-19y+121=0 equation:


Simplifying
y2 + -19y + 121 = 0

Reorder the terms:
121 + -19y + y2 = 0

Solving
121 + -19y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-121' to each side of the equation.
121 + -19y + -121 + y2 = 0 + -121

Reorder the terms:
121 + -121 + -19y + y2 = 0 + -121

Combine like terms: 121 + -121 = 0
0 + -19y + y2 = 0 + -121
-19y + y2 = 0 + -121

Combine like terms: 0 + -121 = -121
-19y + y2 = -121

The y term is -19y.  Take half its coefficient (-9.5).
Square it (90.25) and add it to both sides.

Add '90.25' to each side of the equation.
-19y + 90.25 + y2 = -121 + 90.25

Reorder the terms:
90.25 + -19y + y2 = -121 + 90.25

Combine like terms: -121 + 90.25 = -30.75
90.25 + -19y + y2 = -30.75

Factor a perfect square on the left side:
(y + -9.5)(y + -9.5) = -30.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -28-29x=7x+20 | | 4x+9=108-9x | | -12-3x=12-9x | | x-0.8*(1-x)=0.2x | | 6+5x(5+333)=44 | | 3*(4x-8)=3x-6 | | 3x^3-25x-250=0 | | 240x^2-2000x-20000=0 | | 24x^2-200x-2000=0 | | 59-3x=24x+23 | | 60-x+38=48 | | -115-10x=9x+18 | | 60-x+38=38 | | 6X-8=127-9x | | 7x+3=5x+15 | | x-2+x+3=2x+4 | | x^3-4x^2-5x-16 | | -8x-45=7x | | 9x^2-12x-108=0 | | -2x^2+9x+4=0 | | 1-2cosx=0 | | -6x^2+16x-9=0 | | 15x^2-77x+10=0 | | 5x+12=-150-8x | | 11x^2-142-13=0 | | 166-4x=6x+16 | | .2x^2=2.4x^2-8.5 | | 40-5x=13x+16 | | 5-10x=210-45x | | 88x-4x=2x+22 | | 5x+11=60-2x | | -1x+5=1 |

Equations solver categories