x^2-9x+16=0

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


Simplifying
x2 + -9x + 16 = 0

Reorder the terms:
16 + -9x + x2 = 0

Solving
16 + -9x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -9x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + -9x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -9x + x2 = 0 + -16
-9x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
-9x + x2 = -16

The x term is -9x.  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.
-9x + 20.25 + x2 = -16 + 20.25

Reorder the terms:
20.25 + -9x + x2 = -16 + 20.25

Combine like terms: -16 + 20.25 = 4.25
20.25 + -9x + x2 = 4.25

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

Calculate the square root of the right side: 2.061552813

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

Subproblem 1

x + -4.5 = 2.061552813 Simplifying x + -4.5 = 2.061552813 Reorder the terms: -4.5 + x = 2.061552813 Solving -4.5 + x = 2.061552813 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + x = 2.061552813 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + x = 2.061552813 + 4.5 x = 2.061552813 + 4.5 Combine like terms: 2.061552813 + 4.5 = 6.561552813 x = 6.561552813 Simplifying x = 6.561552813

Subproblem 2

x + -4.5 = -2.061552813 Simplifying x + -4.5 = -2.061552813 Reorder the terms: -4.5 + x = -2.061552813 Solving -4.5 + x = -2.061552813 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + x = -2.061552813 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + x = -2.061552813 + 4.5 x = -2.061552813 + 4.5 Combine like terms: -2.061552813 + 4.5 = 2.438447187 x = 2.438447187 Simplifying x = 2.438447187

Solution

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

See similar equations:

| -8x-18=14 | | g^2-15g-54=0 | | 8h^2+9=38h | | 7n^2-14=-7 | | 7n^2+2n=0 | | 6w^2-23w+7=0 | | 5=10 | | 5x-20=2x-14 | | 4x-28=6 | | -5m^2=-500 | | 7m^2=-21 | | 2x+8y=-6 | | -10x+8y=64 | | 5x-15=4x+8 | | 0x+8y=-16 | | 12n+26=-10 | | (11x+2)+(6x-5)= | | 3-x=13 | | 4x-8=5x-10 | | 0=-0.02d^2+2.6d-66.5 | | 12-5x=-8 | | (11x+2)=(6x-5) | | 3x+36=5x+20 | | a+b+2a+b+3a-4b= | | 100x-.98=300x+.76 | | 3w-2w= | | 3(x+1.44)=2x | | 10x-15=9x+6 | | (x+2)2+3= | | 7.7=4x+8.7 | | 5.5x+3-7.5x=1 | | 8x-55.3=x |

Equations solver categories