If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 9k2 + -20k + -4 = 0 Reorder the terms: -4 + -20k + 9k2 = 0 Solving -4 + -20k + 9k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. -0.4444444444 + -2.222222222k + k2 = 0 Move the constant term to the right: Add '0.4444444444' to each side of the equation. -0.4444444444 + -2.222222222k + 0.4444444444 + k2 = 0 + 0.4444444444 Reorder the terms: -0.4444444444 + 0.4444444444 + -2.222222222k + k2 = 0 + 0.4444444444 Combine like terms: -0.4444444444 + 0.4444444444 = 0.0000000000 0.0000000000 + -2.222222222k + k2 = 0 + 0.4444444444 -2.222222222k + k2 = 0 + 0.4444444444 Combine like terms: 0 + 0.4444444444 = 0.4444444444 -2.222222222k + k2 = 0.4444444444 The k term is -2.222222222k. Take half its coefficient (-1.111111111). Square it (1.234567901) and add it to both sides. Add '1.234567901' to each side of the equation. -2.222222222k + 1.234567901 + k2 = 0.4444444444 + 1.234567901 Reorder the terms: 1.234567901 + -2.222222222k + k2 = 0.4444444444 + 1.234567901 Combine like terms: 0.4444444444 + 1.234567901 = 1.6790123454 1.234567901 + -2.222222222k + k2 = 1.6790123454 Factor a perfect square on the left side: (k + -1.111111111)(k + -1.111111111) = 1.6790123454 Calculate the square root of the right side: 1.295767088 Break this problem into two subproblems by setting (k + -1.111111111) equal to 1.295767088 and -1.295767088.Subproblem 1
k + -1.111111111 = 1.295767088 Simplifying k + -1.111111111 = 1.295767088 Reorder the terms: -1.111111111 + k = 1.295767088 Solving -1.111111111 + k = 1.295767088 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.111111111' to each side of the equation. -1.111111111 + 1.111111111 + k = 1.295767088 + 1.111111111 Combine like terms: -1.111111111 + 1.111111111 = 0.000000000 0.000000000 + k = 1.295767088 + 1.111111111 k = 1.295767088 + 1.111111111 Combine like terms: 1.295767088 + 1.111111111 = 2.406878199 k = 2.406878199 Simplifying k = 2.406878199Subproblem 2
k + -1.111111111 = -1.295767088 Simplifying k + -1.111111111 = -1.295767088 Reorder the terms: -1.111111111 + k = -1.295767088 Solving -1.111111111 + k = -1.295767088 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.111111111' to each side of the equation. -1.111111111 + 1.111111111 + k = -1.295767088 + 1.111111111 Combine like terms: -1.111111111 + 1.111111111 = 0.000000000 0.000000000 + k = -1.295767088 + 1.111111111 k = -1.295767088 + 1.111111111 Combine like terms: -1.295767088 + 1.111111111 = -0.184655977 k = -0.184655977 Simplifying k = -0.184655977Solution
The solution to the problem is based on the solutions from the subproblems. k = {2.406878199, -0.184655977}
| (6y-x)/(x^(2)-5xy-6y^(2)) | | -(6.24c-4.71)+5.24c=-7.93 | | Z+8=3y | | 2(5/s)^2 | | 7n=5n+26 | | 2(5/s) | | 5y=3x+30 | | (5+n)+2= | | 6x+18=4x+1 | | (u+3)+1= | | -9m+3=-8m+12 | | 4(x-3)+2=2(2x-5) | | 9y-3xy= | | 4x-8=-32-2x | | 36x+6x=0 | | 4x+20=3x+2 | | -(6.24c-4.71)+5.24=-7.93 | | -14y-8y=24 | | 5x-20=6x-8 | | 3x-7=-x-8 | | 4n+20=10n-35-n | | -10=5(y+4)-8y | | 9+4(x+3)=49 | | 5z-16=-2z+5 | | 8x^3+24x^2+8x-16=0 | | 14+h^2=-16h | | 5(x+2)+3x= | | (X-3)/6=18 | | 8-8y=2+78 | | 13=-13y | | -9f-25=2f+19 | | 13+y=-13y |