y^2-9y+16=0

Simple and best practice solution for y^2-9y+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 y^2-9y+16=0 equation: 


Simplifying
y2 + -9y + 16 = 0

Reorder the terms:
16 + -9y + y2 = 0

Solving
16 + -9y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -9y + -16 + y2 = 0 + -16

Reorder the terms:
16 + -16 + -9y + y2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -9y + y2 = 0 + -16
-9y + y2 = 0 + -16

Combine like terms: 0 + -16 = -16
-9y + y2 = -16

The y term is -9y.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9y + 20.25 + y2 = -16 + 20.25

Reorder the terms:
20.25 + -9y + y2 = -16 + 20.25

Combine like terms: -16 + 20.25 = 4.25
20.25 + -9y + y2 = 4.25

Factor a perfect square on the left side:
(y + -4.5)(y + -4.5) = 4.25

Calculate the square root of the right side: 2.061552813

Break this problem into two subproblems by setting 
(y + -4.5) equal to 2.061552813 and -2.061552813.


Subproblem 1
y + -4.5 = 2.061552813

Simplifying
y + -4.5 = 2.061552813

Reorder the terms:
-4.5 + y = 2.061552813

Solving
-4.5 + y = 2.061552813

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '4.5' to each side of the equation.
-4.5 + 4.5 + y = 2.061552813 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + y = 2.061552813 + 4.5
y = 2.061552813 + 4.5

Combine like terms: 2.061552813 + 4.5 = 6.561552813
y = 6.561552813

Simplifying
y = 6.561552813


Subproblem 2
y + -4.5 = -2.061552813

Simplifying
y + -4.5 = -2.061552813

Reorder the terms:
-4.5 + y = -2.061552813

Solving
-4.5 + y = -2.061552813

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '4.5' to each side of the equation.
-4.5 + 4.5 + y = -2.061552813 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + y = -2.061552813 + 4.5
y = -2.061552813 + 4.5

Combine like terms: -2.061552813 + 4.5 = 2.438447187
y = 2.438447187

Simplifying
y = 2.438447187


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {6.561552813, 2.438447187}

See similar equations:

| 18-a+4a=6 | | 7x+6+4x=94 | | 1/16=x/32 | | 18-8+4a=6 | | 4e-1=8 | | 2/3(n-6)=5n-44 | | 7y+8x-9y-10x+6= | | 8b-3=4b+9 | | -5(5b+4)=6+b | | Moverk=x | | 5x-7+x= | | 2x=60+5n | | 5y^4=y^2(2z-7ax) | | 15+4lnx=10 | | 8x+10=6-6x | | 6y+y=63 | | 5p-2p=6p | | 39=6q-9 | | 9x=-24-6y | | 3x+33=60 | | -4(4c+2)+2(6c-9)= | | 2(x-4)-(2x+8)= | | 2=20/m | | 10+733=x-2 | | 37/55÷10 | | 4x^7-28x^6=-48x^55 | | 7t+6=20 | | 5+5x=5x+4 | | 10/-18 | | 2(12+3y)+5y=-20 | | 36+2n=-4n+6(1+2n) | | 24x-5-13x+2=22x-8-11x+15 |

Equations solver categories