w^2-22w+24=0

Simple and best practice solution for w^2-22w+24=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 w^2-22w+24=0 equation:


Simplifying
w2 + -22w + 24 = 0

Reorder the terms:
24 + -22w + w2 = 0

Solving
24 + -22w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + -22w + -24 + w2 = 0 + -24

Reorder the terms:
24 + -24 + -22w + w2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -22w + w2 = 0 + -24
-22w + w2 = 0 + -24

Combine like terms: 0 + -24 = -24
-22w + w2 = -24

The w term is -22w.  Take half its coefficient (-11).
Square it (121) and add it to both sides.

Add '121' to each side of the equation.
-22w + 121 + w2 = -24 + 121

Reorder the terms:
121 + -22w + w2 = -24 + 121

Combine like terms: -24 + 121 = 97
121 + -22w + w2 = 97

Factor a perfect square on the left side:
(w + -11)(w + -11) = 97

Calculate the square root of the right side: 9.848857802

Break this problem into two subproblems by setting 
(w + -11) equal to 9.848857802 and -9.848857802.

Subproblem 1

w + -11 = 9.848857802 Simplifying w + -11 = 9.848857802 Reorder the terms: -11 + w = 9.848857802 Solving -11 + w = 9.848857802 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + w = 9.848857802 + 11 Combine like terms: -11 + 11 = 0 0 + w = 9.848857802 + 11 w = 9.848857802 + 11 Combine like terms: 9.848857802 + 11 = 20.848857802 w = 20.848857802 Simplifying w = 20.848857802

Subproblem 2

w + -11 = -9.848857802 Simplifying w + -11 = -9.848857802 Reorder the terms: -11 + w = -9.848857802 Solving -11 + w = -9.848857802 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + w = -9.848857802 + 11 Combine like terms: -11 + 11 = 0 0 + w = -9.848857802 + 11 w = -9.848857802 + 11 Combine like terms: -9.848857802 + 11 = 1.151142198 w = 1.151142198 Simplifying w = 1.151142198

Solution

The solution to the problem is based on the solutions from the subproblems. w = {20.848857802, 1.151142198}

See similar equations:

| -3(-10x-10)-5x-2=53 | | 3b^2+7b+2=0 | | 1/x=150 | | C+34*8=28*34 | | 7[1+(9)]= | | x+46=90 | | (-9x-2)+4x+2=-50 | | 6m-2=2+6 | | -3(5x-1)-5x-3=-60 | | x^2-2+3x+6=5x+4 | | 4(-5x-7)-6x-4=-58 | | a/10=11/14 | | -1(9x-6)-3x+9=-81 | | 2-3(x+1)=6x-10 | | 3-x=-(2x-3) | | 4+17=a-13 | | x/9=7/14 | | 15-2x=-x+5x+43 | | 7.62=6x+3 | | 11x^2+5x=x^2 | | 5x-7y=(-42) | | 0.6(8X+9)=2.5-(x-3) | | 6*p+5=8 | | 13-m=-17 | | 9x^5-72x^3= | | d/dx(4*tan(pix/2)*ln(x)) | | 3(x+6)+2x-6=2(2x-4) | | -5(s+12)-3s=-64 | | 45=3.14*r^2 | | 13-m=17 | | -0.7x-2.1x+7=0 | | 18x^2+21-15=0 |

Equations solver categories