If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y2 + -1y + -1 = 0 Reorder the terms: -1 + -1y + y2 = 0 Solving -1 + -1y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '1' to each side of the equation. -1 + -1y + 1 + y2 = 0 + 1 Reorder the terms: -1 + 1 + -1y + y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y + y2 = 0 + 1 -1y + y2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1y + y2 = 1 The y term is -1y. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1y + 0.25 + y2 = 1 + 0.25 Reorder the terms: 0.25 + -1y + y2 = 1 + 0.25 Combine like terms: 1 + 0.25 = 1.25 0.25 + -1y + y2 = 1.25 Factor a perfect square on the left side: (y + -0.5)(y + -0.5) = 1.25 Calculate the square root of the right side: 1.118033989 Break this problem into two subproblems by setting (y + -0.5) equal to 1.118033989 and -1.118033989.Subproblem 1
y + -0.5 = 1.118033989 Simplifying y + -0.5 = 1.118033989 Reorder the terms: -0.5 + y = 1.118033989 Solving -0.5 + y = 1.118033989 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + y = 1.118033989 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + y = 1.118033989 + 0.5 y = 1.118033989 + 0.5 Combine like terms: 1.118033989 + 0.5 = 1.618033989 y = 1.618033989 Simplifying y = 1.618033989Subproblem 2
y + -0.5 = -1.118033989 Simplifying y + -0.5 = -1.118033989 Reorder the terms: -0.5 + y = -1.118033989 Solving -0.5 + y = -1.118033989 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + y = -1.118033989 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + y = -1.118033989 + 0.5 y = -1.118033989 + 0.5 Combine like terms: -1.118033989 + 0.5 = -0.618033989 y = -0.618033989 Simplifying y = -0.618033989Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.618033989, -0.618033989}
| y^2-zy-1=0 | | (2n-3)(2n+3)= | | 4n-15=45 | | 6x-3(x+5)=3(x-4) | | 108a+72=39 | | -7.7v+7.1=-0.6 | | x+(x+1)=38 | | 15cos(PIx+.5)=f(x) | | 7w^6/49w^4 | | (3/5y^4)^2 | | m=4/5,(8,-6) | | 2(x+20)+110= | | 3a+7b-2(8a-2b)= | | 4x-2+x=-2+x | | 2x+12=12+x | | ln(x+-5)=3*ln(4) | | ln(x+-5)=3*ln*4 | | 2(x+110)= | | -8v+5=-12 | | 0.5n=n+23 | | 6x-13-5x=15 | | 3x=x-74 | | x+x+1+x+2=x-71 | | 0x=18 | | 9+7=2 | | 5x=11.2 | | 6x-8x-32=-2 | | q^6w^4e^5r^1=90 | | 96+4=472 | | qwertyuiopasdfghjklzxcvbnm=l^5 | | 5/9=5/2a-10/9 | | Sinx+1=-sinx |