If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying w4 + -22w2 + 13 = 0 Reorder the terms: 13 + -22w2 + w4 = 0 Solving 13 + -22w2 + w4 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-13' to each side of the equation. 13 + -22w2 + -13 + w4 = 0 + -13 Reorder the terms: 13 + -13 + -22w2 + w4 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -22w2 + w4 = 0 + -13 -22w2 + w4 = 0 + -13 Combine like terms: 0 + -13 = -13 -22w2 + w4 = -13 The w term is -22w2. Take half its coefficient (-11). Square it (121) and add it to both sides. Add '121' to each side of the equation. -22w2 + 121 + w4 = -13 + 121 Reorder the terms: 121 + -22w2 + w4 = -13 + 121 Combine like terms: -13 + 121 = 108 121 + -22w2 + w4 = 108 Factor a perfect square on the left side: (w2 + -11)(w2 + -11) = 108 Calculate the square root of the right side: 10.392304845 Break this problem into two subproblems by setting (w2 + -11) equal to 10.392304845 and -10.392304845.Subproblem 1
w2 + -11 = 10.392304845 Simplifying w2 + -11 = 10.392304845 Reorder the terms: -11 + w2 = 10.392304845 Solving -11 + w2 = 10.392304845 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 + w2 = 10.392304845 + 11 Combine like terms: -11 + 11 = 0 0 + w2 = 10.392304845 + 11 w2 = 10.392304845 + 11 Combine like terms: 10.392304845 + 11 = 21.392304845 w2 = 21.392304845 Simplifying w2 = 21.392304845 Take the square root of each side: w = {-4.625181601, 4.625181601}Subproblem 2
w2 + -11 = -10.392304845 Simplifying w2 + -11 = -10.392304845 Reorder the terms: -11 + w2 = -10.392304845 Solving -11 + w2 = -10.392304845 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 + w2 = -10.392304845 + 11 Combine like terms: -11 + 11 = 0 0 + w2 = -10.392304845 + 11 w2 = -10.392304845 + 11 Combine like terms: -10.392304845 + 11 = 0.607695155 w2 = 0.607695155 Simplifying w2 = 0.607695155 Take the square root of each side: w = {-0.779548045, 0.779548045}Solution
The solution to the problem is based on the solutions from the subproblems. w = {-4.625181601, 4.625181601, -0.779548045, 0.779548045}
| 8x-17+31+9x-69-18=-39 | | 4x-7/2 | | 6x-5y+8=32 | | 2.5x+1=20 | | 5x-5+6x-12=4 | | z^4+-16*z^2+100=0 | | 3=18-3ln(8.1x) | | 5x+33=7x-13 | | y=-2+0.33y | | 1/2y-5=-7 | | y+y+y+x=27 | | 7x-16=3x+3 | | y+y+y+y+x=27 | | 8x+17=6x+59 | | 4x(x-512)=660 | | 2x^2+3xy-4x-4=0 | | 22-4v=2v+4 | | 0.6=/50 | | 0+9.8+t=49 | | 0-9.8+t=49 | | 31-5x=-33-7x | | 5a+3b+7a+4b=0 | | 2y=5+5y-1 | | 5a-3=a-2 | | s*4+41=121 | | X-(x*0.2)=420 | | (x+4)+x+(x+4)+x=3x+(x-1)+3x | | 3X+5(2X-1)=8-3(4-5) | | N^3-n^2-8n+15=0 | | 6X+5=-3+2X | | n^3-6n^2-n+12=0 | | s=20t+4t^2 |